234934318080 has 1320 divisors, whose sum is σ = 1069365835296. Its totient is φ = 48771072000.

The previous prime is 234934318019. The next prime is 234934318081. The reversal of 234934318080 is 80813439432.

234934318080 is a `hidden beast` number, since 2 + 3 + 493 + 4 + 3 + 1 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-2 number, since 2×234934318080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234934318081) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 223533555 + ... + 223534605.

Almost surely, 2^234934318080 is an apocalyptic number.

234934318080 is a gapful number since it is divisible by the number (20) 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 234934318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534682917648).

234934318080 is an abundant number, since it is smaller than the sum of its proper divisors (834431517216).

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

234934318080 is a wasteful number, since it uses less digits than its factorization.

234934318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 234934318080 in words is "two hundred thirty-four billion, nine hundred thirty-four million, three hundred eighteen thousand, eighty".