18157832001 has 9 divisors (see below), whose sum is σ = 26228563491. Its totient is φ = 12104951832.

The previous prime is 18157831987. The next prime is 18157832071. The reversal of 18157832001 is 10023875181.

The square root of 18157832001 is 134751.

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

18157832001 is a `hidden beast` number, since 1 + 81 + 578 + 3 + 2 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2200079025 + 15957752976 = 46905^2 + 126324^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 18157832001 - 2³¹ = 16010348353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18157832071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 381795 + ... + 426711.

Almost surely, 2^18157832001 is an apocalyptic number.

18157832001 is the 134751-st square number.

18157832001 is the 67376-th centered octagonal number.

It is an amenable number.

18157832001 is a deficient number, since it is larger than the sum of its proper divisors (8070731490).

18157832001 is an frugal number, since it uses more digits than its factorization.

18157832001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89840 (or 44920 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Multiplying 18157832001 by its sum of digits (36), we get a square (653681952036 = 808506²).

The spelling of 18157832001 in words is "eighteen billion, one hundred fifty-seven million, eight hundred thirty-two thousand, one".