90785223184384 has 91 divisors (see below), whose sum is σ = 185039595123013. Its totient is φ = 44536147222528.

The previous prime is 90785223184361. The next prime is 90785223184391. The reversal of 90785223184384 is 48348132258709.

The square root of 90785223184384 is 9528128.

The cubic root of 90785223184384 is 44944.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 886911897600 + 89898311286784 = 941760^2 + 9481472^2 .

It is a super-2 number, since 2×90785223184384² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

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 6 ways as a sum of consecutive naturals, for example, 1712928739302 + ... + 1712928739354.

Almost surely, 2^{90785223184384} is an apocalyptic number.

90785223184384 is the 9528128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90785223184384

90785223184384 is an abundant number, since it is smaller than the sum of its proper divisors (94254371938629).

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

90785223184384 is an frugal number, since it uses more digits than its factorization.

90785223184384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

90785223184384 divided by its sum of digits (64) gives a 6-th power (1418519112256 = 106⁶).

The spelling of 90785223184384 in words is "ninety trillion, seven hundred eighty-five billion, two hundred twenty-three million, one hundred eighty-four thousand, three hundred eighty-four".