104605644672 has 432 divisors, whose sum is σ = 332813959920. Its totient is φ = 32741314560.

The previous prime is 104605644659. The next prime is 104605644679. The reversal of 104605644672 is 276446506401.

104605644672 is a `hidden beast` number, since 1 + 0 + 46 + 0 + 564 + 46 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104605644679) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 242704297 + ... + 242704727.

It is an arithmetic number, because the mean of its divisors is an integer number (770402685).

Almost surely, 2^104605644672 is an apocalyptic number.

104605644672 is a gapful number since it is divisible by the number (12) 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 104605644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166406979960).

104605644672 is an abundant number, since it is smaller than the sum of its proper divisors (228208315248).

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

104605644672 is an frugal number, since it uses more digits than its factorization.

104605644672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 104605644672 in words is "one hundred four billion, six hundred five million, six hundred forty-four thousand, six hundred seventy-two".