104579381664 has 48 divisors (see below), whose sum is σ = 305023199040. Its totient is φ = 34859793600.

The previous prime is 104579381629. The next prime is 104579381681. The reversal of 104579381664 is 466183975401.

104579381664 is a `hidden beast` number, since 1 + 0 + 4 + 579 + 3 + 8 + 1 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 104579381664.

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 7 ways as a sum of consecutive naturals, for example, 60519612 + ... + 60521339.

It is an arithmetic number, because the mean of its divisors is an integer number (6354649980).

Almost surely, 2^104579381664 is an apocalyptic number.

It is an amenable number.

104579381664 is an abundant number, since it is smaller than the sum of its proper divisors (200443817376).

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

104579381664 is a wasteful number, since it uses less digits than its factorization.

104579381664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121040970 (or 121040956 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 104579381664 in words is "one hundred four billion, five hundred seventy-nine million, three hundred eighty-one thousand, six hundred sixty-four".