231668726400 has 768 divisors, whose sum is σ = 876172492800. Its totient is φ = 59744563200.

The previous prime is 231668726347. The next prime is 231668726477. The reversal of 231668726400 is 4627866132.

231668726400 is a `hidden beast` number, since 2 + 3 + 166 + 87 + 2 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 471830155 + ... + 471830645.

It is an arithmetic number, because the mean of its divisors is an integer number (1140849600).

Almost surely, 2^231668726400 is an apocalyptic number.

231668726400 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 231668726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438086246400).

231668726400 is an abundant number, since it is smaller than the sum of its proper divisors (644503766400).

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

231668726400 is a wasteful number, since it uses less digits than its factorization.

231668726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 231668726400 in words is "two hundred thirty-one billion, six hundred sixty-eight million, seven hundred twenty-six thousand, four hundred".