90941265633969 has 135 divisors (see below), whose sum is σ = 141445205384535. Its totient is φ = 56302391952000.

The previous prime is 90941265633929. The next prime is 90941265633973. The reversal of 90941265633969 is 96933656214909.

It is a happy number.

The square root of 90941265633969 is 9536313.

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

90941265633969 is a `hidden beast` number, since 9 + 0 + 9 + 4 + 1 + 26 + 563 + 39 + 6 + 9 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 31042024542369 + 59899241091600 = 5571537^2 + 7739460^2 .

It is not a de Polignac number, because 90941265633969 - 2³⁵ = 90906905895601 is a prime.

It is a super-2 number, since 2×90941265633969² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90941265633897 and 90941265633906.

It is not an unprimeable number, because it can be changed into a prime (90941265633929) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1490840420199 + ... + 1490840420259.

Almost surely, 2^{90941265633969} is an apocalyptic number.

90941265633969 is the 9536313-rd square number.

90941265633969 is the 4768157-th centered octagonal number.

It is an amenable number.

90941265633969 is a deficient number, since it is larger than the sum of its proper divisors (50503939750566).

90941265633969 is an frugal number, since it uses more digits than its factorization.

90941265633969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 510183360, while the sum is 72.

The spelling of 90941265633969 in words is "ninety trillion, nine hundred forty-one billion, two hundred sixty-five million, six hundred thirty-three thousand, nine hundred sixty-nine".