92733039441 has 81 divisors (see below), whose sum is σ = 165715862481. Its totient is φ = 49814763264.

The previous prime is 92733039433. The next prime is 92733039449. The reversal of 92733039441 is 14493033729.

The square root of 92733039441 is 304521.

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

It is an interprime number because it is at equal distance from previous prime (92733039433) and next prime (92733039449).

It can be written as a sum of positive squares in 4 ways, for example, as 5554571841 + 87178467600 = 74529^2 + 295260^2 .

It is not a de Polignac number, because 92733039441 - 2³ = 92733039433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (92733039449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 108713571 + ... + 108714423.

Almost surely, 2^92733039441 is an apocalyptic number.

92733039441 is the 304521-st square number.

92733039441 is the 152261-st centered octagonal number.

It is an amenable number.

92733039441 is a deficient number, since it is larger than the sum of its proper divisors (72982823040).

92733039441 is an equidigital number, since it uses as much as digits as its factorization.

92733039441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 92733039441 in words is "ninety-two billion, seven hundred thirty-three million, thirty-nine thousand, four hundred forty-one".