130961659433664 has 224 divisors, whose sum is σ = 376102487255040. Its totient is φ = 40093285478400.

The previous prime is 130961659433639. The next prime is 130961659433747. The reversal of 130961659433664 is 466334956169031.

It is a happy number.

130961659433664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 130961659433595 and 130961659433604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20354649 + ... + 26004519.

It is an arithmetic number, because the mean of its divisors is an integer number (1679028960960).

Almost surely, 2^{130961659433664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130961659433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188051243627520).

130961659433664 is an abundant number, since it is smaller than the sum of its proper divisors (245140827821376).

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

130961659433664 is a wasteful number, since it uses less digits than its factorization.

130961659433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650119 (or 5650109 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 66.

The spelling of 130961659433664 in words is "one hundred thirty trillion, nine hundred sixty-one billion, six hundred fifty-nine million, four hundred thirty-three thousand, six hundred sixty-four".