84904635456 has 441 divisors, whose sum is σ = 270411184983. Its totient is φ = 26434356480.

The previous prime is 84904635397. The next prime is 84904635469. The reversal of 84904635456 is 65453640948.

The square root of 84904635456 is 291384.

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

84904635456 is a `hidden beast` number, since 8 + 4 + 90 + 4 + 6 + 3 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1195839901 + ... + 1195839971.

Almost surely, 2^84904635456 is an apocalyptic number.

84904635456 is the 291384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84904635456

84904635456 is an abundant number, since it is smaller than the sum of its proper divisors (185506549527).

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

84904635456 is an frugal number, since it uses more digits than its factorization.

84904635456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 84904635456 in words is "eighty-four billion, nine hundred four million, six hundred thirty-five thousand, four hundred fifty-six".