90584100634624 has 171 divisors, whose sum is σ = 187923614576971. Its totient is φ = 43662033551360.

The previous prime is 90584100634583. The next prime is 90584100634633. The reversal of 90584100634624 is 42643600148509.

The square root of 90584100634624 is 9517568.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20249712001024 + 70334388633600 = 4499968^2 + 8386560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 141316849344 + ... + 141316849984.

Almost surely, 2^{90584100634624} is an apocalyptic number.

90584100634624 is the 9517568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90584100634624

90584100634624 is an abundant number, since it is smaller than the sum of its proper divisors (97339513942347).

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

90584100634624 is an frugal number, since it uses more digits than its factorization.

90584100634624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 90584100634624 in words is "ninety trillion, five hundred eighty-four billion, one hundred million, six hundred thirty-four thousand, six hundred twenty-four".