113643346311 has 48 divisors (see below), whose sum is σ = 187267272192. Its totient is φ = 65736686400.

The previous prime is 113643346247. The next prime is 113643346319.

113643346311 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 4 + 334 + 6 + 311 = 666.

113643346311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113643346311 - 2⁶ = 113643346247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113643346319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995566 + ... + 1103828.

It is an arithmetic number, because the mean of its divisors is an integer number (3901401504).

Almost surely, 2^113643346311 is an apocalyptic number.

113643346311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113643346311 is a deficient number, since it is larger than the sum of its proper divisors (73623925881).

113643346311 is a wasteful number, since it uses less digits than its factorization.

113643346311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108764 (or 108761 counting only the distinct ones).

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

It can be divided in two parts, 113643 and 346311, that added together give a palindrome (459954).

The spelling of 113643346311 in words is "one hundred thirteen billion, six hundred forty-three million, three hundred forty-six thousand, three hundred eleven".