131927884416 has 96 divisors (see below), whose sum is σ = 399617150400. Its totient is φ = 41661430272.

The previous prime is 131927884399. The next prime is 131927884421. The reversal of 131927884416 is 614488729131.

131927884416 is a `hidden beast` number, since 1 + 3 + 192 + 7 + 8 + 8 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×131927884416² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2991816 + ... + 3035591.

It is an arithmetic number, because the mean of its divisors is an integer number (4162678650).

Almost surely, 2^131927884416 is an apocalyptic number.

131927884416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131927884416 is an abundant number, since it is smaller than the sum of its proper divisors (267689265984).

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

131927884416 is a wasteful number, since it uses less digits than its factorization.

131927884416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6027446 (or 6027431 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 131927884416 in words is "one hundred thirty-one billion, nine hundred twenty-seven million, eight hundred eighty-four thousand, four hundred sixteen".