104516633856 has 288 divisors, whose sum is σ = 305120471040. Its totient is φ = 31660941312.

The previous prime is 104516633843. The next prime is 104516633861. The reversal of 104516633856 is 658336615401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28101565 + ... + 28105283.

It is an arithmetic number, because the mean of its divisors is an integer number (1059446080).

Almost surely, 2^104516633856 is an apocalyptic number.

104516633856 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 104516633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152560235520).

104516633856 is an abundant number, since it is smaller than the sum of its proper divisors (200603837184).

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

104516633856 is a wasteful number, since it uses less digits than its factorization.

104516633856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 104516633856 in words is "one hundred four billion, five hundred sixteen million, six hundred thirty-three thousand, eight hundred fifty-six".