104638169788416 has 312 divisors, whose sum is σ = 331828906101264. Its totient is φ = 31506551930880.

The previous prime is 104638169788409. The next prime is 104638169788433. The reversal of 104638169788416 is 614887961836401.

104638169788416 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 3 + 81 + 69 + 78 + 8 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62842330 + ... + 64485926.

It is an arithmetic number, because the mean of its divisors is an integer number (1063554186222).

Almost surely, 2^{104638169788416} is an apocalyptic number.

104638169788416 is a gapful number since it is divisible by the number (16) 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 104638169788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165914453050632).

104638169788416 is an abundant number, since it is smaller than the sum of its proper divisors (227190736312848).

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

104638169788416 is a wasteful number, since it uses less digits than its factorization.

104638169788416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643795 (or 1643770 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 104638169788416 in words is "one hundred four trillion, six hundred thirty-eight billion, one hundred sixty-nine million, seven hundred eighty-eight thousand, four hundred sixteen".