104576346435456 has 1280 divisors, whose sum is σ = 375591744000000. Its totient is φ = 28841992704000.

The previous prime is 104576346435439. The next prime is 104576346435469. The reversal of 104576346435456 is 654534643675401.

104576346435456 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 7 + 6 + 3 + 46 + 43 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 104576346435393 and 104576346435402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55011228106 + ... + 55011230006.

It is an arithmetic number, because the mean of its divisors is an integer number (293431050000).

Almost surely, 2^{104576346435456} is an apocalyptic number.

104576346435456 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 104576346435456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187795872000000).

104576346435456 is an abundant number, since it is smaller than the sum of its proper divisors (271015397564544).

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

104576346435456 is an equidigital number, since it uses as much as digits as its factorization.

104576346435456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 63.

The spelling of 104576346435456 in words is "one hundred four trillion, five hundred seventy-six billion, three hundred forty-six million, four hundred thirty-five thousand, four hundred fifty-six".