90186418202409 has 27 divisors (see below), whose sum is σ = 130762937446167. Its totient is φ = 59897289801600.

The previous prime is 90186418202383. The next prime is 90186418202479. The reversal of 90186418202409 is 90420281468109.

It is a happy number.

The square root of 90186418202409 is 9496653.

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

90186418202409 is a `hidden beast` number, since 9 + 0 + 18 + 6 + 4 + 18 + 202 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45742862642409 + 44443555560000 = 6763347^2 + 6666600^2 .

It is not a de Polignac number, because 90186418202409 - 2¹⁹ = 90186417678121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90186418202479) 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, 7720773049 + ... + 7720784729.

Almost surely, 2^{90186418202409} is an apocalyptic number.

90186418202409 is the 9496653-rd square number.

90186418202409 is the 4748327-th centered octagonal number.

It is an amenable number.

90186418202409 is a deficient number, since it is larger than the sum of its proper divisors (40576519243758).

90186418202409 is an frugal number, since it uses more digits than its factorization.

90186418202409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23910 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 90186418202409 in words is "ninety trillion, one hundred eighty-six billion, four hundred eighteen million, two hundred two thousand, four hundred nine".