231516977328 has 1200 divisors, whose sum is σ = 892242267840. Its totient is φ = 57326911488.

The previous prime is 231516977327. The next prime is 231516977347. The reversal of 231516977328 is 823779615132.

231516977328 is a `hidden beast` number, since 2 + 3 + 1 + 516 + 97 + 7 + 32 + 8 = 666.

It is a super-2 number, since 2×231516977328² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (231516977327) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1689904876 + ... + 1689905012.

Almost surely, 2^231516977328 is an apocalyptic number.

231516977328 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 231516977328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446121133920).

231516977328 is an abundant number, since it is smaller than the sum of its proper divisors (660725290512).

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

231516977328 is a wasteful number, since it uses less digits than its factorization.

231516977328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 231516977328 in words is "two hundred thirty-one billion, five hundred sixteen million, nine hundred seventy-seven thousand, three hundred twenty-eight".