130638645571392 has 1792 divisors, whose sum is σ = 481096007884800. Its totient is φ = 34358816120832.

The previous prime is 130638645571387. The next prime is 130638645571457. The reversal of 130638645571392 is 293175546836031.

It is a happy number.

130638645571392 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 3 + 8 + 64 + 557 + 13 + 9 + 2 = 666.

It is a super-2 number, since 2×130638645571392² (a number of 29 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 234539758378 + ... + 234539758934.

It is an arithmetic number, because the mean of its divisors is an integer number (268468754400).

It is a 1-persistent number, because it is pandigital, but 2⋅130638645571392 = 261277291142784 is not.

Almost surely, 2^{130638645571392} is an apocalyptic number.

130638645571392 is a gapful number since it is divisible by the number (12) 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 130638645571392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240548003942400).

130638645571392 is an abundant number, since it is smaller than the sum of its proper divisors (350457362313408).

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

130638645571392 is an equidigital number, since it uses as much as digits as its factorization.

130638645571392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 130638645571392 in words is "one hundred thirty trillion, six hundred thirty-eight billion, six hundred forty-five million, five hundred seventy-one thousand, three hundred ninety-two".