131863344768 has 320 divisors, whose sum is σ = 400022979840. Its totient is φ = 43110144000.

The previous prime is 131863344737. The next prime is 131863344787. The reversal of 131863344768 is 867443368131.

It is a happy number.

131863344768 is a `hidden beast` number, since 1 + 31 + 86 + 33 + 447 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6967296) is a multiple of the sum of its prime divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199490358 + ... + 199491018.

It is an arithmetic number, because the mean of its divisors is an integer number (1250071812).

Almost surely, 2^131863344768 is an apocalyptic number.

131863344768 is a gapful number since it is divisible by the number (18) 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 131863344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200011489920).

131863344768 is an abundant number, since it is smaller than the sum of its proper divisors (268159635072).

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

131863344768 is an equidigital number, since it uses as much as digits as its factorization.

131863344768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1008 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 131863344768 in words is "one hundred thirty-one billion, eight hundred sixty-three million, three hundred forty-four thousand, seven hundred sixty-eight".