130046597931264 has 576 divisors, whose sum is σ = 422664706437120. Its totient is φ = 34670039040000.

The previous prime is 130046597931259. The next prime is 130046597931337. The reversal of 130046597931264 is 462139795640031.

It is a junction number, because it is equal to n+sod(n) for n = 130046597931198 and 130046597931207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7694601214 + ... + 7694618114.

It is an arithmetic number, because the mean of its divisors is an integer number (733792893120).

Almost surely, 2^{130046597931264} is an apocalyptic number.

130046597931264 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 130046597931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211332353218560).

130046597931264 is an abundant number, since it is smaller than the sum of its proper divisors (292618108505856).

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

130046597931264 is a wasteful number, since it uses less digits than its factorization.

130046597931264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18078 (or 18064 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 130046597931264 in words is "one hundred thirty trillion, forty-six billion, five hundred ninety-seven million, nine hundred thirty-one thousand, two hundred sixty-four".