131427908408664 has 512 divisors, whose sum is σ = 437998495334400. Its totient is φ = 35739171578880.

The previous prime is 131427908408653. The next prime is 131427908408759. The reversal of 131427908408664 is 466804809724131.

131427908408664 is a `hidden beast` number, since 1 + 3 + 1 + 427 + 90 + 8 + 40 + 86 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 393765129 + ... + 394098759.

It is an arithmetic number, because the mean of its divisors is an integer number (855465811200).

Almost surely, 2^{131427908408664} is an apocalyptic number.

131427908408664 is a gapful number since it is divisible by the number (14) 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 131427908408664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218999247667200).

131427908408664 is an abundant number, since it is smaller than the sum of its proper divisors (306570586925736).

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

131427908408664 is a wasteful number, since it uses less digits than its factorization.

131427908408664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333852 (or 333842 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 131427908408664 in words is "one hundred thirty-one trillion, four hundred twenty-seven billion, nine hundred eight million, four hundred eight thousand, six hundred sixty-four".