90066612321 has 81 divisors (see below), whose sum is σ = 156715660179. Its totient is φ = 49698381600.

The previous prime is 90066612299. The next prime is 90066612331. The reversal of 90066612321 is 12321666009.

It is a happy number.

The square root of 90066612321 is 300111.

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., 28869747921 + 61196864400 = 169911^2 + 247380^2 .

It is not a de Polignac number, because 90066612321 - 2²³ = 90058223713 is a prime.

It is a super-2 number, since 2×90066612321² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90066612331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 195372031 + ... + 195372491.

Almost surely, 2^90066612321 is an apocalyptic number.

90066612321 is the 300111-st square number.

90066612321 is the 150056-th centered octagonal number.

It is an amenable number.

90066612321 is a deficient number, since it is larger than the sum of its proper divisors (66649047858).

90066612321 is an equidigital number, since it uses as much as digits as its factorization.

90066612321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 90066612321 by its sum of digits (36), we get a square (3242398043556 = 1800666²).

The spelling of 90066612321 in words is "ninety billion, sixty-six million, six hundred twelve thousand, three hundred twenty-one".