231601324032 has 960 divisors, whose sum is σ = 824407234560. Its totient is φ = 63531122688.

The previous prime is 231601324027. The next prime is 231601324063. The reversal of 231601324032 is 230423106132.

231601324032 is a `hidden beast` number, since 2 + 3 + 1 + 601 + 3 + 24 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 231601323987 and 231601324005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2248556493 + ... + 2248556595.

It is an arithmetic number, because the mean of its divisors is an integer number (858757536).

Almost surely, 2^231601324032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231601324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412203617280).

231601324032 is an abundant number, since it is smaller than the sum of its proper divisors (592805910528).

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

231601324032 is a wasteful number, since it uses less digits than its factorization.

231601324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 231601324032 in words is "two hundred thirty-one billion, six hundred one million, three hundred twenty-four thousand, thirty-two".