114112461249 has 12 divisors (see below), whose sum is σ = 166461083412. Its totient is φ = 75321756000.

The previous prime is 114112461179. The next prime is 114112461289. The reversal of 114112461249 is 942164211411.

114112461249 is a `hidden beast` number, since 1 + 1 + 4 + 11 + 24 + 612 + 4 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64536321600 + 49576139649 = 254040^2 + 222657^2 .

It is not a de Polignac number, because 114112461249 - 2⁸ = 114112460993 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (114112461289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62767222 + ... + 62769039.

It is an arithmetic number, because the mean of its divisors is an integer number (13871756951).

Almost surely, 2^114112461249 is an apocalyptic number.

It is an amenable number.

114112461249 is a deficient number, since it is larger than the sum of its proper divisors (52348622163).

114112461249 is a wasteful number, since it uses less digits than its factorization.

114112461249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125536368 (or 125536365 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 114112461249 in words is "one hundred fourteen billion, one hundred twelve million, four hundred sixty-one thousand, two hundred forty-nine".