99180864363681 has 45 divisors (see below), whose sum is σ = 149352002994051. Its totient is φ = 65592412810848.

The previous prime is 99180864363653. The next prime is 99180864363697. The reversal of 99180864363681 is 18636346808199.

The square root of 99180864363681 is 9958959.

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

99180864363681 is a `hidden beast` number, since 9 + 9 + 1 + 8 + 0 + 86 + 436 + 36 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96288198149025 + 2892666214656 = 9812655^2 + 1700784^2 .

It is not a de Polignac number, because 99180864363681 - 2⁵ = 99180864363649 is a prime.

It is a super-2 number, since 2×99180864363681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99180864363481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11383085781 + ... + 11383094493.

Almost surely, 2^{99180864363681} is an apocalyptic number.

99180864363681 is the 9958959-th square number.

99180864363681 is the 4979480-th centered octagonal number.

It is an amenable number.

99180864363681 is a deficient number, since it is larger than the sum of its proper divisors (50171138630370).

99180864363681 is an frugal number, since it uses more digits than its factorization.

99180864363681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17692 (or 8843 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 99180864363681 in words is "ninety-nine trillion, one hundred eighty billion, eight hundred sixty-four million, three hundred sixty-three thousand, six hundred eighty-one".