104683437606456 has 288 divisors, whose sum is σ = 304625202850800. Its totient is φ = 32467263897600.

The previous prime is 104683437606431. The next prime is 104683437606493. The reversal of 104683437606456 is 654606734386401.

104683437606456 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 83 + 43 + 7 + 60 + 6 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104683437606393 and 104683437606402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 914600031 + ... + 914714481.

Almost surely, 2^{104683437606456} 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 104683437606456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152312601425400).

104683437606456 is an abundant number, since it is smaller than the sum of its proper divisors (199941765244344).

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

104683437606456 is a wasteful number, since it uses less digits than its factorization.

104683437606456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114999 (or 114975 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 104683437606456 in words is "one hundred four trillion, six hundred eighty-three billion, four hundred thirty-seven million, six hundred six thousand, four hundred fifty-six".