231864588771840 has 1280 divisors, whose sum is σ = 859877703590400. Its totient is φ = 59177995075584.

The previous prime is 231864588771811. The next prime is 231864588771887. The reversal of 231864588771840 is 48177885468132.

231864588771840 is a `hidden beast` number, since 2 + 3 + 1 + 86 + 458 + 87 + 7 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×231864588771840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 29891009242 + ... + 29891016998.

It is an arithmetic number, because the mean of its divisors is an integer number (671779455930).

Almost surely, 2^{231864588771840} is an apocalyptic number.

231864588771840 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 231864588771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429938851795200).

231864588771840 is an abundant number, since it is smaller than the sum of its proper divisors (628013114818560).

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

231864588771840 is a wasteful number, since it uses less digits than its factorization.

231864588771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8034 (or 8012 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 231864588771840 in words is "two hundred thirty-one trillion, eight hundred sixty-four billion, five hundred eighty-eight million, seven hundred seventy-one thousand, eight hundred forty".