234399982464 has 320 divisors, whose sum is σ = 728116290000. Its totient is φ = 74760634368.

The previous prime is 234399982459. The next prime is 234399982499. The reversal of 234399982464 is 464289993432.

234399982464 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 9 + 99 + 82 + 464 = 666.

It is a super-2 number, since 2×234399982464² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33972487 + ... + 33979385.

Almost surely, 2^234399982464 is an apocalyptic number.

234399982464 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 234399982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364058145000).

234399982464 is an abundant number, since it is smaller than the sum of its proper divisors (493716307536).

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

234399982464 is a wasteful number, since it uses less digits than its factorization.

234399982464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7067 (or 7046 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 234399982464 in words is "two hundred thirty-four billion, three hundred ninety-nine million, nine hundred eighty-two thousand, four hundred sixty-four".