231502816909728 has 1728 divisors, whose sum is σ = 867820480128000. Its totient is φ = 59821109397504.

The previous prime is 231502816909667. The next prime is 231502816909729. The reversal of 231502816909728 is 827909618205132.

231502816909728 is a `hidden beast` number, since 2 + 3 + 1 + 502 + 8 + 16 + 9 + 0 + 97 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (231502816909729) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 159988124301 + ... + 159988125747.

It is an arithmetic number, because the mean of its divisors is an integer number (502210926000).

Almost surely, 2^{231502816909728} is an apocalyptic number.

231502816909728 is a gapful number since it is divisible by the number (28) 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 231502816909728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433910240064000).

231502816909728 is an abundant number, since it is smaller than the sum of its proper divisors (636317663218272).

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

231502816909728 is a wasteful number, since it uses less digits than its factorization.

231502816909728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 231502816909728 in words is "two hundred thirty-one trillion, five hundred two billion, eight hundred sixteen million, nine hundred nine thousand, seven hundred twenty-eight".