7164399118131 has 48 divisors (see below), whose sum is σ = 11251759716288. Its totient is φ = 4376031436800.

The previous prime is 7164399118117. The next prime is 7164399118139. The reversal of 7164399118131 is 1318119934617.

7164399118131 is a `hidden beast` number, since 7 + 1 + 6 + 4 + 399 + 118 + 131 = 666.

It is not a de Polignac number, because 7164399118131 - 2⁵ = 7164399118099 is a prime.

It is a super-2 number, since 2×7164399118131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7164399118139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3051615 + ... + 4862216.

It is an arithmetic number, because the mean of its divisors is an integer number (234411660756).

Almost surely, 2^{7164399118131} is an apocalyptic number.

7164399118131 is a deficient number, since it is larger than the sum of its proper divisors (4087360598157).

7164399118131 is a wasteful number, since it uses less digits than its factorization.

7164399118131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914012 (or 7914009 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The spelling of 7164399118131 in words is "seven trillion, one hundred sixty-four billion, three hundred ninety-nine million, one hundred eighteen thousand, one hundred thirty-one".