130461678564 has 192 divisors, whose sum is σ = 367675392000. Its totient is φ = 35951731200.

The previous prime is 130461678563. The next prime is 130461678637. The reversal of 130461678564 is 465876164031.

It is not an unprimeable number, because it can be changed into a prime (130461678563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42232732 + ... + 42235820.

It is an arithmetic number, because the mean of its divisors is an integer number (1914976000).

Almost surely, 2^130461678564 is an apocalyptic number.

130461678564 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 130461678564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183837696000).

130461678564 is an abundant number, since it is smaller than the sum of its proper divisors (237213713436).

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

130461678564 is a wasteful number, since it uses less digits than its factorization.

130461678564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 130461678564 in words is "one hundred thirty billion, four hundred sixty-one million, six hundred seventy-eight thousand, five hundred sixty-four".