104476251168 has 384 divisors, whose sum is σ = 324971136000. Its totient is φ = 32606945280.

The previous prime is 104476251149. The next prime is 104476251227. The reversal of 104476251168 is 861152674401.

104476251168 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 7 + 625 + 1 + 16 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103543848 + ... + 103544856.

It is an arithmetic number, because the mean of its divisors is an integer number (846279000).

Almost surely, 2^104476251168 is an apocalyptic number.

104476251168 is a gapful number since it is divisible by the number (18) 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 104476251168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162485568000).

104476251168 is an abundant number, since it is smaller than the sum of its proper divisors (220494884832).

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

104476251168 is a wasteful number, since it uses less digits than its factorization.

104476251168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 104476251168 in words is "one hundred four billion, four hundred seventy-six million, two hundred fifty-one thousand, one hundred sixty-eight".