114250166901 has 128 divisors (see below), whose sum is σ = 204115968000. Its totient is φ = 62394375168.

The previous prime is 114250166879. The next prime is 114250166909. The reversal of 114250166901 is 109661052411.

114250166901 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 501 + 66 + 90 + 1 = 666.

It is not a de Polignac number, because 114250166901 - 2⁶ = 114250166837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114250166909) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25279920 + ... + 25284438.

It is an arithmetic number, because the mean of its divisors is an integer number (1594656000).

Almost surely, 2^114250166901 is an apocalyptic number.

It is an amenable number.

114250166901 is a deficient number, since it is larger than the sum of its proper divisors (89865801099).

114250166901 is a wasteful number, since it uses less digits than its factorization.

114250166901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 114250166901 in words is "one hundred fourteen billion, two hundred fifty million, one hundred sixty-six thousand, nine hundred one".