130368809664 has 112 divisors (see below), whose sum is σ = 383738018400. Its totient is φ = 43402088448.

The previous prime is 130368809657. The next prime is 130368809677. The reversal of 130368809664 is 466908863031.

130368809664 is a `hidden beast` number, since 130 + 368 + 8 + 0 + 96 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 130368809664.

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, 1351324 + ... + 1444580.

Almost surely, 2^130368809664 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 130368809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191869009200).

130368809664 is an abundant number, since it is smaller than the sum of its proper divisors (253369208736).

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

130368809664 is an equidigital number, since it uses as much as digits as its factorization.

130368809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94087 (or 94071 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

It can be divided in two parts, 13036880 and 9664, that added together give a square (13046544 = 3612²).

The spelling of 130368809664 in words is "one hundred thirty billion, three hundred sixty-eight million, eight hundred nine thousand, six hundred sixty-four".