104404922742792 has 256 divisors, whose sum is σ = 306758388625920. Its totient is φ = 28989842227200.

The previous prime is 104404922742749. The next prime is 104404922742829. The reversal of 104404922742792 is 297247229404401.

It is a super-4 number, since 4×104404922742792⁴ (a number of 57 digits) contains 4444 as substring.

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, 4926376548 + ... + 4926397740.

It is an arithmetic number, because the mean of its divisors is an integer number (1198274955570).

Almost surely, 2^{104404922742792} is an apocalyptic number.

104404922742792 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 104404922742792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153379194312960).

104404922742792 is an abundant number, since it is smaller than the sum of its proper divisors (202353465883128).

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

104404922742792 is a wasteful number, since it uses less digits than its factorization.

104404922742792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23984 (or 23980 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 104404922742792 in words is "one hundred four trillion, four hundred four billion, nine hundred twenty-two million, seven hundred forty-two thousand, seven hundred ninety-two".