104846860800 has 1440 divisors, whose sum is σ = 450237325824. Its totient is φ = 23003136000.

The previous prime is 104846860799. The next prime is 104846860813. The reversal of 104846860800 is 8068648401.

104846860800 is a `hidden beast` number, since 10 + 48 + 468 + 60 + 80 + 0 = 666.

104846860800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×104846860800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 667814322 + ... + 667814478.

Almost surely, 2^104846860800 is an apocalyptic number.

104846860800 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 104846860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225118662912).

104846860800 is an abundant number, since it is smaller than the sum of its proper divisors (345390465024).

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

104846860800 is a wasteful number, since it uses less digits than its factorization.

104846860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 104846860800 in words is "one hundred four billion, eight hundred forty-six million, eight hundred sixty thousand, eight hundred".