90607622121 has 27 divisors (see below), whose sum is σ = 131719151109. Its totient is φ = 60019185312.

The previous prime is 90607622071. The next prime is 90607622141. The reversal of 90607622121 is 12122670609.

The square root of 90607622121 is 301011.

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

90607622121 is a `hidden beast` number, since 9 + 0 + 6 + 0 + 7 + 622 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19497933225 + 71109688896 = 139635^2 + 266664^2 .

It is not a de Polignac number, because 90607622121 - 2⁹ = 90607621609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90607622141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 242915691 + ... + 242916063.

Almost surely, 2^90607622121 is an apocalyptic number.

90607622121 is the 301011-st square number.

90607622121 is the 150506-th centered octagonal number.

It is an amenable number.

90607622121 is a deficient number, since it is larger than the sum of its proper divisors (41111528988).

90607622121 is an frugal number, since it uses more digits than its factorization.

90607622121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 90607622121 by its sum of digits (36), we get a square (3261874396356 = 1806066²).

The spelling of 90607622121 in words is "ninety billion, six hundred seven million, six hundred twenty-two thousand, one hundred twenty-one".