131104490894568 has 320 divisors, whose sum is σ = 386726890032000. Its totient is φ = 41153505493536.

The previous prime is 131104490894521. The next prime is 131104490894581. The reversal of 131104490894568 is 865498094401131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

131104490894568 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 4 + 490 + 8 + 94 + 56 + 8 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 131104490894568 = 6346³ + 50768³ = 28557³ + 47595³.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 785056831621 + ... + 785056831787.

It is an arithmetic number, because the mean of its divisors is an integer number (1208521531350).

Almost surely, 2^{131104490894568} is an apocalyptic number.

131104490894568 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 131104490894568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193363445016000).

131104490894568 is an abundant number, since it is smaller than the sum of its proper divisors (255622399137432).

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

131104490894568 is an frugal number, since it uses more digits than its factorization.

131104490894568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 131104490894568 in words is "one hundred thirty-one trillion, one hundred four billion, four hundred ninety million, eight hundred ninety-four thousand, five hundred sixty-eight".