114630966 has 48 divisors (see below), whose sum is σ = 265603104. Its totient is φ = 35603712.

The previous prime is 114630953. The next prime is 114631001. The reversal of 114630966 is 669036411.

114630966 is a `hidden beast` number, since 1 + 14 + 630 + 9 + 6 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114630966.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29700 + ... + 33336.

It is an arithmetic number, because the mean of its divisors is an integer number (5533398).

Almost surely, 2^114630966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114630966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132801552).

114630966 is an abundant number, since it is smaller than the sum of its proper divisors (150972138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114630966 is a wasteful number, since it uses less digits than its factorization.

114630966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 114630966 is about 10706.5851698849. The cubic root of 114630966 is about 485.7736841924.

The spelling of 114630966 in words is "one hundred fourteen million, six hundred thirty thousand, nine hundred sixty-six".