113437664340 has 384 divisors, whose sum is σ = 437996740608. Its totient is φ = 21169797120.

The previous prime is 113437664321. The next prime is 113437664357. The reversal of 113437664340 is 43466734311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 113437664292 and 113437664301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2196697 + ... + 2247743.

It is an arithmetic number, because the mean of its divisors is an integer number (1140616512).

Almost surely, 2^113437664340 is an apocalyptic number.

113437664340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113437664340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218998370304).

113437664340 is an abundant number, since it is smaller than the sum of its proper divisors (324559076268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113437664340 is a wasteful number, since it uses less digits than its factorization.

113437664340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51127 (or 51125 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

It can be divided in two parts, 113437 and 664340, that added together give a palindrome (777777).

The spelling of 113437664340 in words is "one hundred thirteen billion, four hundred thirty-seven million, six hundred sixty-four thousand, three hundred forty".