104868352512 has 320 divisors, whose sum is σ = 387018086400. Its totient is φ = 27238256640.

The previous prime is 104868352471. The next prime is 104868352513. The reversal of 104868352512 is 215253868401.

104868352512 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 6 + 83 + 52 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (104868352513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015189 + ... + 1113707.

It is an arithmetic number, because the mean of its divisors is an integer number (1209431520).

Almost surely, 2^104868352512 is an apocalyptic number.

104868352512 is a gapful number since it is divisible by the number (12) 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 104868352512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193509043200).

104868352512 is an abundant number, since it is smaller than the sum of its proper divisors (282149733888).

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

104868352512 is an equidigital number, since it uses as much as digits as its factorization.

104868352512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98564 (or 98542 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 104868352512 in words is "one hundred four billion, eight hundred sixty-eight million, three hundred fifty-two thousand, five hundred twelve".