131614204807944 has 128 divisors (see below), whose sum is σ = 370132152220800. Its totient is φ = 43868601758592.

The previous prime is 131614204807909. The next prime is 131614204807991. The reversal of 131614204807944 is 449708402416131.

It is a happy number.

131614204807944 is a `hidden beast` number, since 1 + 3 + 16 + 1 + 42 + 0 + 480 + 79 + 44 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283500699 + ... + 283964565.

It is an arithmetic number, because the mean of its divisors is an integer number (2891657439225).

Almost surely, 2^{131614204807944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131614204807944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185066076110400).

131614204807944 is an abundant number, since it is smaller than the sum of its proper divisors (238517947412856).

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

131614204807944 is an equidigital number, since it uses as much as digits as its factorization.

131614204807944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480111 (or 480089 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 131614204807944 in words is "one hundred thirty-one trillion, six hundred fourteen billion, two hundred four million, eight hundred seven thousand, nine hundred forty-four".