233152225351344 has 180 divisors, whose sum is σ = 714494698954920. Its totient is φ = 70933087779840.

The previous prime is 233152225351337. The next prime is 233152225351361. The reversal of 233152225351344 is 443153522251332.

233152225351344 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 5 + 2 + 2 + 253 + 51 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 233152225351344.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51657402 + ... + 55989209.

It is an arithmetic number, because the mean of its divisors is an integer number (3969414994194).

Almost surely, 2^{233152225351344} is an apocalyptic number.

233152225351344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233152225351344 is an abundant number, since it is smaller than the sum of its proper divisors (481342473603576).

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

233152225351344 is a wasteful number, since it uses less digits than its factorization.

233152225351344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107646740 (or 107646718 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

The spelling of 233152225351344 in words is "two hundred thirty-three trillion, one hundred fifty-two billion, two hundred twenty-five million, three hundred fifty-one thousand, three hundred forty-four".