104525476416 has 189 divisors, whose sum is σ = 316648544121. Its totient is φ = 32961489408.

The previous prime is 104525476409. The next prime is 104525476421. The reversal of 104525476416 is 614674525401.

The square root of 104525476416 is 323304.

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

104525476416 is a `hidden beast` number, since 1 + 0 + 45 + 2 + 547 + 64 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13948554816 + 90576921600 = 118104^2 + 300960^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 147426270 + ... + 147426978.

Almost surely, 2^104525476416 is an apocalyptic number.

104525476416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104525476416 is the 323304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104525476416

104525476416 is an abundant number, since it is smaller than the sum of its proper divisors (212123067705).

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

104525476416 is an frugal number, since it uses more digits than its factorization.

104525476416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 104525476416 in words is "one hundred four billion, five hundred twenty-five million, four hundred seventy-six thousand, four hundred sixteen".