104550889102464 has 768 divisors, whose sum is σ = 335260456945920. Its totient is φ = 28761499533312.

The previous prime is 104550889102441. The next prime is 104550889102483. The reversal of 104550889102464 is 464201988055401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28746462054 + ... + 28746465690.

It is an arithmetic number, because the mean of its divisors is an integer number (436537053315).

Almost surely, 2^{104550889102464} is an apocalyptic number.

104550889102464 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 104550889102464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167630228472960).

104550889102464 is an abundant number, since it is smaller than the sum of its proper divisors (230709567843456).

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

104550889102464 is a wasteful number, since it uses less digits than its factorization.

104550889102464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 104550889102464 in words is "one hundred four trillion, five hundred fifty billion, eight hundred eighty-nine million, one hundred two thousand, four hundred sixty-four".