114042416625 has 48 divisors (see below), whose sum is σ = 212669505360. Its totient is φ = 58725273600.

The previous prime is 114042416603. The next prime is 114042416629. The reversal of 114042416625 is 526614240411.

114042416625 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 24 + 1 + 6 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 62966868624 + 51075548001 = 250932^2 + 225999^2 .

It is not a de Polignac number, because 114042416625 - 2¹⁰ = 114042415601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114042416625.

It is not an unprimeable number, because it can be changed into a prime (114042416629) 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, 1715152 + ... + 1780401.

It is an arithmetic number, because the mean of its divisors is an integer number (4430614695).

Almost surely, 2^114042416625 is an apocalyptic number.

114042416625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114042416625 is a deficient number, since it is larger than the sum of its proper divisors (98627088735).

114042416625 is a wasteful number, since it uses less digits than its factorization.

114042416625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495603 (or 3495590 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 114042416625 in words is "one hundred fourteen billion, forty-two million, four hundred sixteen thousand, six hundred twenty-five".