104414440113 has 48 divisors (see below), whose sum is σ = 162522968400. Its totient is φ = 64356618240.

The previous prime is 104414440111. The next prime is 104414440129. The reversal of 104414440113 is 311044414401.

104414440113 is a `hidden beast` number, since 104 + 4 + 1 + 4 + 440 + 113 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1789036209 + 102625403904 = 42297^2 + 320352^2 .

It is not a de Polignac number, because 104414440113 - 2¹ = 104414440111 is a prime.

It is a super-2 number, since 2×104414440113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104414440111) 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, 7543483 + ... + 7557311.

It is an arithmetic number, because the mean of its divisors is an integer number (3385895175).

Almost surely, 2^104414440113 is an apocalyptic number.

It is an amenable number.

104414440113 is a deficient number, since it is larger than the sum of its proper divisors (58108528287).

104414440113 is a wasteful number, since it uses less digits than its factorization.

104414440113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14722 (or 14719 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 104414440113 its reverse (311044414401), we get a palindrome (415458854514).

The spelling of 104414440113 in words is "one hundred four billion, four hundred fourteen million, four hundred forty thousand, one hundred thirteen".