231552432645600 has 576 divisors, whose sum is σ = 823514791680000. Its totient is φ = 56045723596800.

The previous prime is 231552432645577. The next prime is 231552432645613. The reversal of 231552432645600 is 6546234255132.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 231552432645600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69765720741 + ... + 69765724059.

It is an arithmetic number, because the mean of its divisors is an integer number (1429713180000).

Almost surely, 2^{231552432645600} is an apocalyptic number.

231552432645600 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 231552432645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411757395840000).

231552432645600 is an abundant number, since it is smaller than the sum of its proper divisors (591962359034400).

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

231552432645600 is a wasteful number, since it uses less digits than its factorization.

231552432645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6711 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 231552432645600 in words is "two hundred thirty-one trillion, five hundred fifty-two billion, four hundred thirty-two million, six hundred forty-five thousand, six hundred".