233368838976 has 672 divisors, whose sum is σ = 803208960000. Its totient is φ = 58471096320.

The previous prime is 233368838959. The next prime is 233368838977. The reversal of 233368838976 is 679838863332.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×233368838976² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233368838977) 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, 467672775 + ... + 467673273.

Almost surely, 2^233368838976 is an apocalyptic number.

233368838976 is a gapful number since it is divisible by the number (26) 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 233368838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401604480000).

233368838976 is an abundant number, since it is smaller than the sum of its proper divisors (569840121024).

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

233368838976 is a wasteful number, since it uses less digits than its factorization.

233368838976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 624 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 66.

The spelling of 233368838976 in words is "two hundred thirty-three billion, three hundred sixty-eight million, eight hundred thirty-eight thousand, nine hundred seventy-six".