234896062464 has 288 divisors, whose sum is σ = 816156432000. Its totient is φ = 63580225536.

The previous prime is 234896062459. The next prime is 234896062469. The reversal of 234896062464 is 464260698432.

234896062464 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 9 + 6 + 0 + 624 + 6 + 4 = 666.

234896062464 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234896062459) and next prime (234896062469).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×234896062464² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 234896062464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234896062469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2403547 + ... + 2499365.

It is an arithmetic number, because the mean of its divisors is an integer number (2833876500).

Almost surely, 2^234896062464 is an apocalyptic number.

234896062464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234896062464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408078216000).

234896062464 is an abundant number, since it is smaller than the sum of its proper divisors (581260369536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234896062464 is a wasteful number, since it uses less digits than its factorization.

234896062464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95873 (or 95850 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 234896062464 in words is "two hundred thirty-four billion, eight hundred ninety-six million, sixty-two thousand, four hundred sixty-four".