104914609959936 has 352 divisors, whose sum is σ = 325231334258688. Its totient is φ = 29448860958720.

The previous prime is 104914609959881. The next prime is 104914609959953. The reversal of 104914609959936 is 639959906419401.

It is a super-2 number, since 2×104914609959936² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 431958466 + ... + 432201278.

It is an arithmetic number, because the mean of its divisors is an integer number (923952654144).

Almost surely, 2^{104914609959936} is an apocalyptic number.

104914609959936 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 104914609959936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162615667129344).

104914609959936 is an abundant number, since it is smaller than the sum of its proper divisors (220316724298752).

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

104914609959936 is a wasteful number, since it uses less digits than its factorization.

104914609959936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243197 (or 243179 counting only the distinct ones).

The product of its (nonzero) digits is 510183360, while the sum is 75.

The spelling of 104914609959936 in words is "one hundred four trillion, nine hundred fourteen billion, six hundred nine million, nine hundred fifty-nine thousand, nine hundred thirty-six".