181018764369 has 27 divisors (see below), whose sum is σ = 268799469393. Its totient is φ = 117386943552.

The previous prime is 181018764361. The next prime is 181018764419. The reversal of 181018764369 is 963467810181.

The square root of 181018764369 is 425463.

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

181018764369 is a `hidden beast` number, since 18 + 10 + 187 + 6 + 436 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4265787969 + 176752976400 = 65313^2 + 420420^2 .

It is not a de Polignac number, because 181018764369 - 2³ = 181018764361 is a prime.

It is a super-2 number, since 2×181018764369² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (181018764361) 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, 47224477 + ... + 47228309.

Almost surely, 2^181018764369 is an apocalyptic number.

181018764369 is the 425463-rd square number.

181018764369 is the 212732-nd centered octagonal number.

It is an amenable number.

181018764369 is a deficient number, since it is larger than the sum of its proper divisors (87780705024).

181018764369 is an frugal number, since it uses more digits than its factorization.

181018764369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 181018764369 in words is "one hundred eighty-one billion, eighteen million, seven hundred sixty-four thousand, three hundred sixty-nine".