130417606656 has 240 divisors, whose sum is σ = 389979727200. Its totient is φ = 43071307776.

The previous prime is 130417606597. The next prime is 130417606667. The reversal of 130417606656 is 656606714031.

130417606656 is a `hidden beast` number, since 1 + 30 + 4 + 1 + 7 + 606 + 6 + 5 + 6 = 666.

It is a super-3 number, since 3×130417606656³ (a number of 34 digits) contains 333 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 15 ways as a sum of consecutive naturals, for example, 49986280 + ... + 49988888.

It is an arithmetic number, because the mean of its divisors is an integer number (1624915530).

Almost surely, 2^130417606656 is an apocalyptic number.

130417606656 is a gapful number since it is divisible by the number (16) 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 130417606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194989863600).

130417606656 is an abundant number, since it is smaller than the sum of its proper divisors (259562120544).

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

130417606656 is an equidigital number, since it uses as much as digits as its factorization.

130417606656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 130417606656 in words is "one hundred thirty billion, four hundred seventeen million, six hundred six thousand, six hundred fifty-six".