114400701 has 32 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 70018560.

The previous prime is 114400697. The next prime is 114400703. The reversal of 114400701 is 107004411.

It is not a de Polignac number, because 114400701 - 2² = 114400697 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114400703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15780 + ... + 21858.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2^114400701 is an apocalyptic number.

It is an amenable number.

114400701 is a deficient number, since it is larger than the sum of its proper divisors (69458499).

114400701 is a wasteful number, since it uses less digits than its factorization.

114400701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 6140 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 114400701 is about 10695.8263355385. The cubic root of 114400701 is about 485.4482001271.

The spelling of 114400701 in words is "one hundred fourteen million, four hundred thousand, seven hundred one".