104416760448 has 640 divisors, whose sum is σ = 417262285440. Its totient is φ = 25032499200.

The previous prime is 104416760389. The next prime is 104416760453. The reversal of 104416760448 is 844067614401.

104416760448 is a `hidden beast` number, since 1 + 0 + 44 + 167 + 6 + 0 + 448 = 666.

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, 10373338 + ... + 10383398.

It is an arithmetic number, because the mean of its divisors is an integer number (651972321).

Almost surely, 2^104416760448 is an apocalyptic number.

104416760448 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 104416760448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208631142720).

104416760448 is an abundant number, since it is smaller than the sum of its proper divisors (312845524992).

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

104416760448 is a wasteful number, since it uses less digits than its factorization.

104416760448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10118 (or 10097 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 104416760448 in words is "one hundred four billion, four hundred sixteen million, seven hundred sixty thousand, four hundred forty-eight".