104413883426736 has 480 divisors, whose sum is σ = 308469238848000. Its totient is φ = 30359131545600.

The previous prime is 104413883426711. The next prime is 104413883426747. The reversal of 104413883426736 is 637624388314401.

It is a super-2 number, since 2×104413883426736² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104413883426736.

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, 28212341686 + ... + 28212345386.

It is an arithmetic number, because the mean of its divisors is an integer number (642644247600).

Almost surely, 2^{104413883426736} is an apocalyptic number.

104413883426736 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 104413883426736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154234619424000).

104413883426736 is an abundant number, since it is smaller than the sum of its proper divisors (204055355421264).

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

104413883426736 is a wasteful number, since it uses less digits than its factorization.

104413883426736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 104413883426736 in words is "one hundred four trillion, four hundred thirteen billion, eight hundred eighty-three million, four hundred twenty-six thousand, seven hundred thirty-six".