90385159566321 has 81 divisors (see below), whose sum is σ = 136003901244939. Its totient is φ = 57841263324000.

The previous prime is 90385159566313. The next prime is 90385159566341. The reversal of 90385159566321 is 12366595158309.

It is a happy number.

The square root of 90385159566321 is 9507111.

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

90385159566321 is a `hidden beast` number, since 9 + 0 + 3 + 8 + 5 + 1 + 595 + 6 + 6 + 32 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89851914950625 + 533244615696 = 9479025^2 + 730236^2 .

It is not a de Polignac number, because 90385159566321 - 2³ = 90385159566313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90385159566301) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 133508359435 + ... + 133508360111.

Almost surely, 2^{90385159566321} is an apocalyptic number.

90385159566321 is the 9507111-st square number.

90385159566321 is the 4753556-th centered octagonal number.

It is an amenable number.

90385159566321 is a deficient number, since it is larger than the sum of its proper divisors (45618741678618).

90385159566321 is an frugal number, since it uses more digits than its factorization.

90385159566321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 90385159566321 in words is "ninety trillion, three hundred eighty-five billion, one hundred fifty-nine million, five hundred sixty-six thousand, three hundred twenty-one".