114763008 has 144 divisors (see below), whose sum is σ = 326712960. Its totient is φ = 35684352.

The previous prime is 114763003. The next prime is 114763013. The reversal of 114763008 is 800367411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114763003) and next prime (114763013).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114763003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1289428 + ... + 1289516.

It is an arithmetic number, because the mean of its divisors is an integer number (2268840).

Almost surely, 2^114763008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114763008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163356480).

114763008 is an abundant number, since it is smaller than the sum of its proper divisors (211949952).

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

114763008 is an equidigital number, since it uses as much as digits as its factorization.

114763008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 114763008 is about 10712.7497870528. The cubic root of 114763008 is about 485.9601315328.

The spelling of 114763008 in words is "one hundred fourteen million, seven hundred sixty-three thousand, eight".