104261826816 has 405 divisors, whose sum is σ = 361348542555. Its totient is φ = 28828154880.

The previous prime is 104261826763. The next prime is 104261826859. The reversal of 104261826816 is 618628162401.

It is a happy number.

The square root of 104261826816 is 322896.

It is a perfect power (a square), and thus also a powerful number.

104261826816 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 618 + 26 + 8 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3363284721 + ... + 3363284751.

Almost surely, 2^104261826816 is an apocalyptic number.

104261826816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104261826816 is the 322896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104261826816

104261826816 is an abundant number, since it is smaller than the sum of its proper divisors (257086715739).

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

104261826816 is an frugal number, since it uses more digits than its factorization.

104261826816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 104261826816 in words is "one hundred four billion, two hundred sixty-one million, eight hundred twenty-six thousand, eight hundred sixteen".