233153207254240 has 96 divisors (see below), whose sum is σ = 677937787289280. Its totient is φ = 73789146906624.

The previous prime is 233153207254211. The next prime is 233153207254283. The reversal of 233153207254240 is 42452702351332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8006620305 + ... + 8006649424.

It is an arithmetic number, because the mean of its divisors is an integer number (7061851950930).

Almost surely, 2^{233153207254240} is an apocalyptic number.

233153207254240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233153207254240 is an abundant number, since it is smaller than the sum of its proper divisors (444784580035040).

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

233153207254240 is a wasteful number, since it uses less digits than its factorization.

233153207254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16013269764 (or 16013269756 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 43.

The spelling of 233153207254240 in words is "two hundred thirty-three trillion, one hundred fifty-three billion, two hundred seven million, two hundred fifty-four thousand, two hundred forty".