90165033007729 has 9 divisors (see below), whose sum is σ = 94255924437003. Its totient is φ = 86244605279712.

The previous prime is 90165033007727. The next prime is 90165033007807. The reversal of 90165033007729 is 92770033056109.

The square root of 90165033007729 is 9495527.

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., 87349080521329 + 2815952486400 = 9346073^2 + 1678080^2 .

It is not a de Polignac number, because 90165033007729 - 2¹ = 90165033007727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90165033007727) 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, 218190697 + ... + 218603545.

Almost surely, 2^{90165033007729} is an apocalyptic number.

90165033007729 is the 9495527-th square number.

90165033007729 is the 4747764-th centered octagonal number.

It is an amenable number.

90165033007729 is a deficient number, since it is larger than the sum of its proper divisors (4090891429274).

90165033007729 is an frugal number, since it uses more digits than its factorization.

90165033007729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825744 (or 412872 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 52.

The spelling of 90165033007729 in words is "ninety trillion, one hundred sixty-five billion, thirty-three million, seven thousand, seven hundred twenty-nine".