130561377408 has 864 divisors, whose sum is σ = 502436887680. Its totient is φ = 31848284160.

The previous prime is 130561377407. The next prime is 130561377469. The reversal of 130561377408 is 804773165031.

130561377408 is a `hidden beast` number, since 13 + 0 + 561 + 3 + 7 + 74 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (130561377407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 281989785 + ... + 281990247.

Almost surely, 2^130561377408 is an apocalyptic number.

130561377408 is a gapful number since it is divisible by the number (18) 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 130561377408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251218443840).

130561377408 is an abundant number, since it is smaller than the sum of its proper divisors (371875510272).

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

130561377408 is a wasteful number, since it uses less digits than its factorization.

130561377408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 130561377408 in words is "one hundred thirty billion, five hundred sixty-one million, three hundred seventy-seven thousand, four hundred eight".