104656605456 has 160 divisors (see below), whose sum is σ = 302325649920. Its totient is φ = 30975436800.

The previous prime is 104656605421. The next prime is 104656605457. The reversal of 104656605456 is 654506656401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (104656605457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4893346 + ... + 4914686.

It is an arithmetic number, because the mean of its divisors is an integer number (1889535312).

Almost surely, 2^104656605456 is an apocalyptic number.

104656605456 is a gapful number since it is divisible by the number (16) 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 104656605456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151162824960).

104656605456 is an abundant number, since it is smaller than the sum of its proper divisors (197669044464).

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

104656605456 is a wasteful number, since it uses less digits than its factorization.

104656605456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21665 (or 21659 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 104656605456 in words is "one hundred four billion, six hundred fifty-six million, six hundred five thousand, four hundred fifty-six".