90905582369 has 16 divisors (see below), whose sum is σ = 106150238208. Its totient is φ = 76226952912.

The previous prime is 90905582357. The next prime is 90905582381. The reversal of 90905582369 is 96328550909.

It is an interprime number because it is at equal distance from previous prime (90905582357) and next prime (90905582381).

It is a cyclic number.

It is not a de Polignac number, because 90905582369 - 2⁴ = 90905582353 is a prime.

It is a super-2 number, since 2×90905582369² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90905582069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684902 + ... + 806784.

It is an arithmetic number, because the mean of its divisors is an integer number (6634389888).

Almost surely, 2^90905582369 is an apocalyptic number.

It is an amenable number.

90905582369 is a deficient number, since it is larger than the sum of its proper divisors (15244655839).

90905582369 is a wasteful number, since it uses less digits than its factorization.

90905582369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124204.

The product of its (nonzero) digits is 5248800, while the sum is 56.

The spelling of 90905582369 in words is "ninety billion, nine hundred five million, five hundred eighty-two thousand, three hundred sixty-nine".