233917609664 has 168 divisors, whose sum is σ = 510023150640. Its totient is φ = 106073210880.

The previous prime is 233917609621. The next prime is 233917609699. The reversal of 233917609664 is 466906719332.

It is a super-2 number, since 2×233917609664² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427637039 + ... + 427637585.

Almost surely, 2^233917609664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233917609664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255011575320).

233917609664 is an abundant number, since it is smaller than the sum of its proper divisors (276105540976).

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

233917609664 is a wasteful number, since it uses less digits than its factorization.

233917609664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 56.

The spelling of 233917609664 in words is "two hundred thirty-three billion, nine hundred seventeen million, six hundred nine thousand, six hundred sixty-four".