104445687168000 has 880 divisors, whose sum is σ = 389610826697664. Its totient is φ = 27826031001600.

The previous prime is 104445687167999. The next prime is 104445687168019. The reversal of 104445687168000 is 861786544401.

104445687168000 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 4 + 568 + 71 + 6 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12680059882 + ... + 12680068118.

Almost surely, 2^{104445687168000} is an apocalyptic number.

104445687168000 is a gapful number since it is divisible by the number (10) 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 104445687168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194805413348832).

104445687168000 is an abundant number, since it is smaller than the sum of its proper divisors (285165139529664).

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

104445687168000 is an equidigital number, since it uses as much as digits as its factorization.

104445687168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9507 (or 9470 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 104445687168000 in words is "one hundred four trillion, four hundred forty-five billion, six hundred eighty-seven million, one hundred sixty-eight thousand".