90838946025 has 81 divisors (see below), whose sum is σ = 165611701047. Its totient is φ = 47596298400.

The previous prime is 90838945999. The next prime is 90838946071. The reversal of 90838946025 is 52064983809.

The square root of 90838946025 is 301395.

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

90838946025 is a `hidden beast` number, since 9 + 0 + 83 + 89 + 460 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32702020569 + 58136925456 = 180837^2 + 241116^2 .

It is not a de Polignac number, because 90838946025 - 2²¹ = 90836848873 is a prime.

It is a super-2 number, since 2×90838946025² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 320985534 + ... + 320985816.

Almost surely, 2^90838946025 is an apocalyptic number.

90838946025 is the 301395-th square number.

90838946025 is the 150698-th centered octagonal number.

It is an amenable number.

90838946025 is a deficient number, since it is larger than the sum of its proper divisors (74772755022).

90838946025 is an equidigital number, since it uses as much as digits as its factorization.

90838946025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 90838946025 in words is "ninety billion, eight hundred thirty-eight million, nine hundred forty-six thousand, twenty-five".