104454604800 has 1728 divisors, whose sum is σ = 479084336640. Its totient is φ = 21162885120.

The previous prime is 104454604783. The next prime is 104454604841. The reversal of 104454604800 is 8406454401.

It is a happy number.

104454604800 is a `hidden beast` number, since 1 + 0 + 4 + 45 + 4 + 604 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1970841574 + ... + 1970841626.

It is an arithmetic number, because the mean of its divisors is an integer number (277247880).

Almost surely, 2^104454604800 is an apocalyptic number.

104454604800 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 104454604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239542168320).

104454604800 is an abundant number, since it is smaller than the sum of its proper divisors (374629731840).

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

104454604800 is a wasteful number, since it uses less digits than its factorization.

104454604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 104454604800 in words is "one hundred four billion, four hundred fifty-four million, six hundred four thousand, eight hundred".