90271404304 has 45 divisors (see below), whose sum is σ = 180799425399. Its totient is φ = 43661684640.

The previous prime is 90271404263. The next prime is 90271404313. The reversal of 90271404304 is 40340417209.

It is a happy number.

The square root of 90271404304 is 300452.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90271404304.

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, 37254837 + ... + 37257259.

Almost surely, 2^90271404304 is an apocalyptic number.

90271404304 is the 300452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90271404304

90271404304 is an abundant number, since it is smaller than the sum of its proper divisors (90528021095).

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

90271404304 is an frugal number, since it uses more digits than its factorization.

90271404304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 90271404304 in words is "ninety billion, two hundred seventy-one million, four hundred four thousand, three hundred four".