104786275413456 has 720 divisors, whose sum is σ = 383183581347840. Its totient is φ = 26181217820160.

The previous prime is 104786275413403. The next prime is 104786275413473. The reversal of 104786275413456 is 654314572687401.

104786275413456 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 8 + 6 + 2 + 7 + 541 + 34 + 56 = 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 = 104786275413393 and 104786275413402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 799396401 + ... + 799527471.

Almost surely, 2^{104786275413456} is an apocalyptic number.

104786275413456 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 104786275413456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191591790673920).

104786275413456 is an abundant number, since it is smaller than the sum of its proper divisors (278397305934384).

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

104786275413456 is a wasteful number, since it uses less digits than its factorization.

104786275413456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131169 (or 131115 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 104786275413456 in words is "one hundred four trillion, seven hundred eighty-six billion, two hundred seventy-five million, four hundred thirteen thousand, four hundred fifty-six".