114800949 has 32 divisors (see below), whose sum is σ = 182816640. Its totient is φ = 70937856.

The previous prime is 114800947. The next prime is 114800951. The reversal of 114800949 is 949008411.

It is an interprime number because it is at equal distance from previous prime (114800947) and next prime (114800951).

It is not a de Polignac number, because 114800949 - 2¹ = 114800947 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114800941) 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, 28887 + ... + 32619.

It is an arithmetic number, because the mean of its divisors is an integer number (5713020).

Almost surely, 2^114800949 is an apocalyptic number.

It is an amenable number.

114800949 is a deficient number, since it is larger than the sum of its proper divisors (68015691).

114800949 is a wasteful number, since it uses less digits than its factorization.

114800949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114800949 is about 10714.5204745709. The cubic root of 114800949 is about 486.0136789322.

The spelling of 114800949 in words is "one hundred fourteen million, eight hundred thousand, nine hundred forty-nine".