2314435114125 has 48 divisors (see below), whose sum is σ = 4181206197168. Its totient is φ = 1231687536000.

The previous prime is 2314435114093. The next prime is 2314435114129. The reversal of 2314435114125 is 5214115344132.

2314435114125 is a `hidden beast` number, since 2 + 3 + 1 + 443 + 51 + 141 + 25 = 666.

2314435114125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 625108447044 + 1689326667081 = 790638^2 + 1299741^2 .

It is not a de Polignac number, because 2314435114125 - 2⁵ = 2314435114093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2314435114125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314435114129) 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, 1712694 + ... + 2749943.

It is an arithmetic number, because the mean of its divisors is an integer number (87108462441).

Almost surely, 2^{2314435114125} is an apocalyptic number.

2314435114125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2314435114125 is a deficient number, since it is larger than the sum of its proper divisors (1866771083043).

2314435114125 is a wasteful number, since it uses less digits than its factorization.

2314435114125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463119 (or 4463106 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 2314435114125 in words is "two trillion, three hundred fourteen billion, four hundred thirty-five million, one hundred fourteen thousand, one hundred twenty-five".