231506845920 has 1152 divisors, whose sum is σ = 1006739435520. Its totient is φ = 47200665600.

The previous prime is 231506845909. The next prime is 231506845939. The reversal of 231506845920 is 29548605132.

231506845920 is a `hidden beast` number, since 2 + 3 + 1 + 50 + 6 + 8 + 4 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 595133086 + ... + 595133474.

It is an arithmetic number, because the mean of its divisors is an integer number (873905760).

Almost surely, 2^231506845920 is an apocalyptic number.

231506845920 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 231506845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503369717760).

231506845920 is an abundant number, since it is smaller than the sum of its proper divisors (775232589600).

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

231506845920 is a wasteful number, since it uses less digits than its factorization.

231506845920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 231506845920 in words is "two hundred thirty-one billion, five hundred six million, eight hundred forty-five thousand, nine hundred twenty".