131664365433630 has 24 divisors (see below), whose sum is σ = 342327350127672. Its totient is φ = 35110497448944.

The previous prime is 131664365433599. The next prime is 131664365433637. The reversal of 131664365433630 is 36334563466131.

131664365433630 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 6 + 4 + 36 + 543 + 3 + 63 + 0 = 666.

It is a super-3 number, since 3×131664365433630³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131664365433637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731468696764 + ... + 731468696943.

It is an arithmetic number, because the mean of its divisors is an integer number (14263639588653).

Almost surely, 2^{131664365433630} is an apocalyptic number.

131664365433630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131664365433630 is an abundant number, since it is smaller than the sum of its proper divisors (210662984694042).

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

131664365433630 is a wasteful number, since it uses less digits than its factorization.

131664365433630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462937393720 (or 1462937393717 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 54.

The spelling of 131664365433630 in words is "one hundred thirty-one trillion, six hundred sixty-four billion, three hundred sixty-five million, four hundred thirty-three thousand, six hundred thirty".