113640545046311 has 8 divisors (see below), whose sum is σ = 113766724400784. Its totient is φ = 113514435622080.

The previous prime is 113640545046257. The next prime is 113640545046349.

It is a happy number.

113640545046311 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113640545046311 - 2²⁶ = 113640477937447 is a prime.

It is a super-2 number, since 2×113640545046311² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113640545046911) 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 7 ways as a sum of consecutive naturals, for example, 14230310 + ... + 20731203.

It is an arithmetic number, because the mean of its divisors is an integer number (14220840550098).

Almost surely, 2^{113640545046311} is an apocalyptic number.

113640545046311 is a deficient number, since it is larger than the sum of its proper divisors (126179354473).

113640545046311 is a wasteful number, since it uses less digits than its factorization.

113640545046311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34965121.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 113640545046311 in words is "one hundred thirteen trillion, six hundred forty billion, five hundred forty-five million, forty-six thousand, three hundred eleven".