233921060904960 has 2240 divisors, whose sum is σ = 989749287838080. Its totient is φ = 52320172769280.

The previous prime is 233921060904929. The next prime is 233921060904977. The reversal of 233921060904960 is 69409060129332.

233921060904960 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 2 + 1 + 0 + 60 + 90 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 233921060904897 and 233921060904906.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 115288841226 + ... + 115288843254.

It is an arithmetic number, because the mean of its divisors is an integer number (441852360642).

Almost surely, 2^{233921060904960} is an apocalyptic number.

233921060904960 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 233921060904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494874643919040).

233921060904960 is an abundant number, since it is smaller than the sum of its proper divisors (755828226933120).

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

233921060904960 is an frugal number, since it uses more digits than its factorization.

233921060904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 233921060904960 in words is "two hundred thirty-three trillion, nine hundred twenty-one billion, sixty million, nine hundred four thousand, nine hundred sixty".