104845238784 has 960 divisors, whose sum is σ = 378353783808. Its totient is φ = 28565913600.

The previous prime is 104845238777. The next prime is 104845238807. The reversal of 104845238784 is 487832548401.

104845238784 is a `hidden beast` number, since 1 + 0 + 48 + 4 + 523 + 8 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 104845238784.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1263195607 + ... + 1263195689.

Almost surely, 2^104845238784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104845238784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189176891904).

104845238784 is an abundant number, since it is smaller than the sum of its proper divisors (273508545024).

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

104845238784 is an equidigital number, since it uses as much as digits as its factorization.

104845238784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 104845238784 in words is "one hundred four billion, eight hundred forty-five million, two hundred thirty-eight thousand, seven hundred eighty-four".