231624129680 has 80 divisors (see below), whose sum is σ = 548659393968. Its totient is φ = 90913536000.

The previous prime is 231624129623. The next prime is 231624129691. The reversal of 231624129680 is 86921426132.

It can be written as a sum of positive squares in 8 ways, for example, as 103663393024 + 127960736656 = 321968^2 + 357716^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 1998110 + ... + 2110850.

Almost surely, 2^231624129680 is an apocalyptic number.

231624129680 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 231624129680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274329696984).

231624129680 is an abundant number, since it is smaller than the sum of its proper divisors (317035264288).

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

231624129680 is a wasteful number, since it uses less digits than its factorization.

231624129680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113236 (or 113230 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 231624129680 in words is "two hundred thirty-one billion, six hundred twenty-four million, one hundred twenty-nine thousand, six hundred eighty".