90946274329 has 9 divisors (see below), whose sum is σ = 91923097437. Its totient is φ = 89979732864.

The previous prime is 90946274327. The next prime is 90946274347. The reversal of 90946274329 is 92347264909.

The square root of 90946274329 is 301573.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13913382025 + 77032892304 = 117955^2 + 277548^2 .

It is not a de Polignac number, because 90946274329 - 2¹ = 90946274327 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90946274329.

It is not an unprimeable number, because it can be changed into a prime (90946274327) 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, 29251027 + ... + 29254135.

It is an arithmetic number, because the mean of its divisors is an integer number (10213677493).

Almost surely, 2^90946274329 is an apocalyptic number.

90946274329 is the 301573-rd square number.

90946274329 is the 150787-th centered octagonal number.

It is an amenable number.

90946274329 is a deficient number, since it is larger than the sum of its proper divisors (976823108).

90946274329 is an frugal number, since it uses more digits than its factorization.

90946274329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 90946274329 in words is "ninety billion, nine hundred forty-six million, two hundred seventy-four thousand, three hundred twenty-nine".