104194636416 has 384 divisors, whose sum is σ = 337656883200. Its totient is φ = 31791771648.

The previous prime is 104194636391. The next prime is 104194636453. The reversal of 104194636416 is 614636491401.

104194636416 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 9 + 4 + 636 + 4 + 1 + 6 = 666.

104194636416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 51351690 + ... + 51353718.

It is an arithmetic number, because the mean of its divisors is an integer number (879314800).

Almost surely, 2^104194636416 is an apocalyptic number.

104194636416 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 104194636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168828441600).

104194636416 is an abundant number, since it is smaller than the sum of its proper divisors (233462246784).

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

104194636416 is a wasteful number, since it uses less digits than its factorization.

104194636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 104194636416 in words is "one hundred four billion, one hundred ninety-four million, six hundred thirty-six thousand, four hundred sixteen".