114073251561 has 48 divisors (see below), whose sum is σ = 174702124800. Its totient is φ = 73561628736.

The previous prime is 114073251559. The next prime is 114073251569. The reversal of 114073251561 is 165152370411.

114073251561 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 73 + 25 + 1 + 561 = 666.

It is not a de Polignac number, because 114073251561 - 2¹ = 114073251559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114073251569) 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, 6385680 + ... + 6403518.

It is an arithmetic number, because the mean of its divisors is an integer number (3639627600).

Almost surely, 2^114073251561 is an apocalyptic number.

It is an amenable number.

114073251561 is a deficient number, since it is larger than the sum of its proper divisors (60628873239).

114073251561 is a wasteful number, since it uses less digits than its factorization.

114073251561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18095 (or 18052 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 114073251561 in words is "one hundred fourteen billion, seventy-three million, two hundred fifty-one thousand, five hundred sixty-one".