104901934485456 has 120 divisors (see below), whose sum is σ = 298567016336160. Its totient is φ = 34373336164608.

The previous prime is 104901934485427. The next prime is 104901934485461. The reversal of 104901934485456 is 654584439109401.

104901934485456 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 0 + 1 + 93 + 448 + 54 + 56 = 666.

It is a super-2 number, since 2×104901934485456² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104901934485393 and 104901934485402.

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 23 ways as a sum of consecutive naturals, for example, 236961691 + ... + 237403973.

It is an arithmetic number, because the mean of its divisors is an integer number (2488058469468).

Almost surely, 2^{104901934485456} is an apocalyptic number.

104901934485456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104901934485456 is an abundant number, since it is smaller than the sum of its proper divisors (193665081850704).

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

104901934485456 is a wasteful number, since it uses less digits than its factorization.

104901934485456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470273 (or 470264 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 104901934485456 in words is "one hundred four trillion, nine hundred one billion, nine hundred thirty-four million, four hundred eighty-five thousand, four hundred fifty-six".