233880629084928 has 360 divisors, whose sum is σ = 808912626781952. Its totient is φ = 65825675384832.

The previous prime is 233880629084911. The next prime is 233880629084951. The reversal of 233880629084928 is 829480926088332.

233880629084928 is a `hidden beast` number, since 2 + 3 + 38 + 80 + 6 + 29 + 0 + 8 + 492 + 8 = 666.

It is a super-2 number, since 2×233880629084928² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2299300 + ... + 21749667.

Almost surely, 2^{233880629084928} is an apocalyptic number.

233880629084928 is a gapful number since it is divisible by the number (28) 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 233880629084928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404456313390976).

233880629084928 is an abundant number, since it is smaller than the sum of its proper divisors (575031997697024).

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

233880629084928 is an equidigital number, since it uses as much as digits as its factorization.

233880629084928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24049069 (or 24049046 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 233880629084928 in words is "two hundred thirty-three trillion, eight hundred eighty billion, six hundred twenty-nine million, eighty-four thousand, nine hundred twenty-eight".