90551040889 has 27 divisors (see below), whose sum is σ = 99568299663. Its totient is φ = 82330891200.

The previous prime is 90551040887. The next prime is 90551040919. The reversal of 90551040889 is 98804015509.

The square root of 90551040889 is 300917.

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., 70498215225 + 20052825664 = 265515^2 + 141608^2 .

It is not a de Polignac number, because 90551040889 - 2¹ = 90551040887 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90551040887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 158582974 + ... + 158583544.

Almost surely, 2^90551040889 is an apocalyptic number.

90551040889 is the 300917-th square number.

90551040889 is the 150459-th centered octagonal number.

It is an amenable number.

90551040889 is a deficient number, since it is larger than the sum of its proper divisors (9017258774).

90551040889 is an frugal number, since it uses more digits than its factorization.

90551040889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 49.

Multiplying 90551040889 by its sum of digits (49), we get a square (4437001003561 = 2106419²).

The spelling of 90551040889 in words is "ninety billion, five hundred fifty-one million, forty thousand, eight hundred eighty-nine".