231465560894400 has 672 divisors, whose sum is σ = 890414314915840. Its totient is φ = 51539561902080.

The previous prime is 231465560894387. The next prime is 231465560894413. The reversal of 231465560894400 is 4498065564132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231465560894387) and next prime (231465560894413).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 547367847 + ... + 547790553.

Almost surely, 2^{231465560894400} is an apocalyptic number.

231465560894400 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 231465560894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445207157457920).

231465560894400 is an abundant number, since it is smaller than the sum of its proper divisors (658948754021440).

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

231465560894400 is a wasteful number, since it uses less digits than its factorization.

231465560894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423161 (or 423146 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 231465560894400 in words is "two hundred thirty-one trillion, four hundred sixty-five billion, five hundred sixty million, eight hundred ninety-four thousand, four hundred".