233238507264 has 864 divisors, whose sum is σ = 862463347200. Its totient is φ = 62622056448.

The previous prime is 233238507223. The next prime is 233238507269. The reversal of 233238507264 is 462705832332.

233238507264 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 385 + 0 + 7 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233238507269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362734527 + ... + 362735169.

Almost surely, 2^233238507264 is an apocalyptic number.

233238507264 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 233238507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431231673600).

233238507264 is an abundant number, since it is smaller than the sum of its proper divisors (629224839936).

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

233238507264 is an frugal number, since it uses more digits than its factorization.

233238507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 233238507264 in words is "two hundred thirty-three billion, two hundred thirty-eight million, five hundred seven thousand, two hundred sixty-four".