114956001 has 24 divisors (see below), whose sum is σ = 174208320. Its totient is φ = 72907296.

The previous prime is 114955991. The next prime is 114956021. The reversal of 114956001 is 100659411.

114956001 is a `hidden beast` number, since 11 + 49 + 5 + 600 + 1 = 666.

It is not a de Polignac number, because 114956001 - 2¹¹ = 114953953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114956021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39370 + ... + 42188.

It is an arithmetic number, because the mean of its divisors is an integer number (7258680).

Almost surely, 2^114956001 is an apocalyptic number.

It is an amenable number.

114956001 is a deficient number, since it is larger than the sum of its proper divisors (59252319).

114956001 is a wasteful number, since it uses less digits than its factorization.

114956001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 114956001 is about 10721.7536345506. The cubic root of 114956001 is about 486.2323864508.

The spelling of 114956001 in words is "one hundred fourteen million, nine hundred fifty-six thousand, one".