114314040320125 has 8 divisors (see below), whose sum is σ = 142663922319672. Its totient is φ = 91451232256000.

The previous prime is 114314040320101. The next prime is 114314040320209. The reversal of 114314040320125 is 521023040413411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 127996510756 + 114186043809369 = 357766^2 + 10685787^2 .

It is not a de Polignac number, because 114314040320125 - 2³⁵ = 114279680581757 is a prime.

It is a super-2 number, since 2×114314040320125² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457256161156 + ... + 457256161405.

It is an arithmetic number, because the mean of its divisors is an integer number (17832990289959).

Almost surely, 2^{114314040320125} is an apocalyptic number.

It is an amenable number.

114314040320125 is a deficient number, since it is larger than the sum of its proper divisors (28349881999547).

114314040320125 is an frugal number, since it uses more digits than its factorization.

114314040320125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914512322576 (or 914512322566 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 114314040320125 its reverse (521023040413411), we get a palindrome (635337080733536).

The spelling of 114314040320125 in words is "one hundred fourteen trillion, three hundred fourteen billion, forty million, three hundred twenty thousand, one hundred twenty-five".