90738910441 has 9 divisors (see below), whose sum is σ = 91209135549. Its totient is φ = 90271101804.

The previous prime is 90738910421. The next prime is 90738910447. The reversal of 90738910441 is 14401983709.

The square root of 90738910441 is 301229.

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

It is a de Polignac number, because none of the positive numbers 2^k-90738910441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90738910391 and 90738910400.

It is not an unprimeable number, because it can be changed into a prime (90738910447) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68378320 + ... + 68379646.

Almost surely, 2^90738910441 is an apocalyptic number.

90738910441 is the 301229-th square number.

90738910441 is the 150615-th centered octagonal number.

It is an amenable number.

90738910441 is a deficient number, since it is larger than the sum of its proper divisors (470225108).

90738910441 is an frugal number, since it uses more digits than its factorization.

90738910441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 90738910441 in words is "ninety billion, seven hundred thirty-eight million, nine hundred ten thousand, four hundred forty-one".