130808929314816 has 768 divisors, whose sum is σ = 402313347072000. Its totient is φ = 41962630348800.

The previous prime is 130808929314809. The next prime is 130808929314859. The reversal of 130808929314816 is 618413929808031.

130808929314816 is a `hidden beast` number, since 1 + 30 + 8 + 0 + 8 + 92 + 9 + 31 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×130808929314816² (a number of 29 digits) contains 22 as substring.

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, 124461397491 + ... + 124461398541.

It is an arithmetic number, because the mean of its divisors is an integer number (523845504000).

Almost surely, 2^{130808929314816} is an apocalyptic number.

130808929314816 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 130808929314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201156673536000).

130808929314816 is an abundant number, since it is smaller than the sum of its proper divisors (271504417757184).

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

130808929314816 is a wasteful number, since it uses less digits than its factorization.

130808929314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 130808929314816 in words is "one hundred thirty trillion, eight hundred eight billion, nine hundred twenty-nine million, three hundred fourteen thousand, eight hundred sixteen".