83434360113 has 24 divisors (see below), whose sum is σ = 132952321320. Its totient is φ = 50091920640.

The previous prime is 83434360063. The next prime is 83434360127. The reversal of 83434360113 is 31106343438.

83434360113 is a `hidden beast` number, since 8 + 3 + 4 + 3 + 43 + 601 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16391168784 + 67043191329 = 128028^2 + 258927^2 .

It is not a de Polignac number, because 83434360113 - 2¹² = 83434356017 is a prime.

It is a super-2 number, since 2×83434360113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83434360153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8691718 + ... + 8701311.

It is an arithmetic number, because the mean of its divisors is an integer number (5539680055).

Almost surely, 2^83434360113 is an apocalyptic number.

It is an amenable number.

83434360113 is a deficient number, since it is larger than the sum of its proper divisors (49517961207).

83434360113 is a wasteful number, since it uses less digits than its factorization.

83434360113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17393089 (or 17393086 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 83434360113 in words is "eighty-three billion, four hundred thirty-four million, three hundred sixty thousand, one hundred thirteen".