90282821841 has 27 divisors (see below), whose sum is σ = 133304759913. Its totient is φ = 58880297160.

The previous prime is 90282821831. The next prime is 90282821843. The reversal of 90282821841 is 14812828209.

The square root of 90282821841 is 300471.

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

It is not a de Polignac number, because 90282821841 - 2¹⁷ = 90282690769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90282821843) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42365346 + ... + 42367476.

Almost surely, 2^90282821841 is an apocalyptic number.

90282821841 is the 300471-st square number.

90282821841 is the 150236-th centered octagonal number.

It is an amenable number.

90282821841 is a deficient number, since it is larger than the sum of its proper divisors (43021938072).

90282821841 is an frugal number, since it uses more digits than its factorization.

90282821841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 90282821841 in words is "ninety billion, two hundred eighty-two million, eight hundred twenty-one thousand, eight hundred forty-one".