104668026624 has 324 divisors, whose sum is σ = 352427146344. Its totient is φ = 29788286976.

The previous prime is 104668026611. The next prime is 104668026643. The reversal of 104668026624 is 426620866401.

104668026624 is a `hidden beast` number, since 10 + 4 + 6 + 6 + 8 + 0 + 2 + 6 + 624 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 104668026624.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 31270519 + ... + 31273865.

It is an arithmetic number, because the mean of its divisors is an integer number (1087738106).

Almost surely, 2^104668026624 is an apocalyptic number.

104668026624 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 104668026624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176213573172).

104668026624 is an abundant number, since it is smaller than the sum of its proper divisors (247759119720).

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

104668026624 is a wasteful number, since it uses less digits than its factorization.

104668026624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 104668026624 in words is "one hundred four billion, six hundred sixty-eight million, twenty-six thousand, six hundred twenty-four".