104502624136416 has 240 divisors, whose sum is σ = 335361185203968. Its totient is φ = 31659723244800.

The previous prime is 104502624136409. The next prime is 104502624136433. The reversal of 104502624136416 is 614631426205401.

104502624136416 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 0 + 2 + 624 + 1 + 3 + 6 + 4 + 16 = 666.

104502624136416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116767051 + ... + 117658613.

Almost surely, 2^{104502624136416} is an apocalyptic number.

104502624136416 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 104502624136416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167680592601984).

104502624136416 is an abundant number, since it is smaller than the sum of its proper divisors (230858561067552).

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

104502624136416 is a wasteful number, since it uses less digits than its factorization.

104502624136416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895707 (or 895690 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 104502624136416 in words is "one hundred four trillion, five hundred two billion, six hundred twenty-four million, one hundred thirty-six thousand, four hundred sixteen".