104986312704 has 608 divisors, whose sum is σ = 385204144640. Its totient is φ = 27518828544.

The previous prime is 104986312663. The next prime is 104986312747. The reversal of 104986312704 is 407213689401.

104986312704 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 8 + 631 + 2 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×104986312704² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104986312704.

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, 644087727 + ... + 644087889.

Almost surely, 2^104986312704 is an apocalyptic number.

104986312704 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 104986312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192602072320).

104986312704 is an abundant number, since it is smaller than the sum of its proper divisors (280217831936).

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

104986312704 is an frugal number, since it uses more digits than its factorization.

104986312704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 104986312704 in words is "one hundred four billion, nine hundred eighty-six million, three hundred twelve thousand, seven hundred four".