90310467289 has 15 divisors (see below), whose sum is σ = 105373124223. Its totient is φ = 77396350248.

The previous prime is 90310467287. The next prime is 90310467301. The reversal of 90310467289 is 98276401309.

The square root of 90310467289 is 300517.

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., 87447361225 + 2863106064 = 295715^2 + 53508^2 .

It is not a de Polignac number, because 90310467289 - 2¹ = 90310467287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90310467287) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14722267 + ... + 14728399.

Almost surely, 2^90310467289 is an apocalyptic number.

90310467289 is the 300517-th square number.

90310467289 is the 150259-th centered octagonal number.

It is an amenable number.

90310467289 is a deficient number, since it is larger than the sum of its proper divisors (15062656934).

90310467289 is an frugal number, since it uses more digits than its factorization.

90310467289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12294 (or 6140 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 90310467289 by its sum of digits (49), we get a square (4425212897161 = 2103619²).

90310467289 divided by its sum of digits (49) gives a square (1843070761 = 42931²).

The spelling of 90310467289 in words is "ninety billion, three hundred ten million, four hundred sixty-seven thousand, two hundred eighty-nine".