361132202231163 has 72 divisors (see below), whose sum is σ = 587984730474960. Its totient is φ = 213299883878400.

The previous prime is 361132202231159. The next prime is 361132202231231.

361132202231163 is a `hidden beast` number, since 3 + 6 + 1 + 132 + 202 + 2 + 311 + 6 + 3 = 666.

361132202231163 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 361132202231163 - 2² = 361132202231159 is a prime.

It is a super-3 number, since 3×361132202231163³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (361132202231123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37125720 + ... + 45832122.

It is an arithmetic number, because the mean of its divisors is an integer number (8166454589930).

Almost surely, 2^{361132202231163} is an apocalyptic number.

361132202231163 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

361132202231163 is a deficient number, since it is larger than the sum of its proper divisors (226852528243797).

361132202231163 is a wasteful number, since it uses less digits than its factorization.

361132202231163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8707401 (or 8707387 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 36113220 and 2231163, that added together give a palindrome (38344383).

The spelling of 361132202231163 in words is "three hundred sixty-one trillion, one hundred thirty-two billion, two hundred two million, two hundred thirty-one thousand, one hundred sixty-three".