114630249000960 has 1872 divisors, whose sum is σ = 501250809503808. Its totient is φ = 23718285803520.

The previous prime is 114630249000929. The next prime is 114630249000977. The reversal of 114630249000960 is 69000942036411.

114630249000960 is a `hidden beast` number, since 1 + 1 + 4 + 630 + 2 + 4 + 9 + 0 + 0 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 40122591852 + ... + 40122594708.

It is an arithmetic number, because the mean of its divisors is an integer number (267762184564).

Almost surely, 2^{114630249000960} is an apocalyptic number.

114630249000960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114630249000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250625404751904).

114630249000960 is an abundant number, since it is smaller than the sum of its proper divisors (386620560502848).

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

114630249000960 is a wasteful number, since it uses less digits than its factorization.

114630249000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 114630249000960 in words is "one hundred fourteen trillion, six hundred thirty billion, two hundred forty-nine million, nine hundred sixty", and thus it is an aban number.