90495247384201 has 45 divisors (see below), whose sum is σ = 103133117557015. Its totient is φ = 79402265373200.

The previous prime is 90495247384187. The next prime is 90495247384207. The reversal of 90495247384201 is 10248374259409.

The square root of 90495247384201 is 9512899.

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

It can be written as a sum of positive squares in only one way, i.e., 47453512599801 + 43041734784400 = 6888651^2 + 6560620^2 .

It is not a de Polignac number, because 90495247384201 - 2⁵ = 90495247384169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90495247384207) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33380761236 + ... + 33380763946.

Almost surely, 2^{90495247384201} is an apocalyptic number.

90495247384201 is the 9512899-th square number.

90495247384201 is the 4756450-th centered octagonal number.

It is an amenable number.

90495247384201 is a deficient number, since it is larger than the sum of its proper divisors (12637870172814).

90495247384201 is an frugal number, since it uses more digits than its factorization.

90495247384201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 90495247384201 in words is "ninety trillion, four hundred ninety-five billion, two hundred forty-seven million, three hundred eighty-four thousand, two hundred one".