114045515224000 has 112 divisors (see below), whose sum is σ = 282481974084960. Its totient is φ = 45610411929600.

The previous prime is 114045515223979. The next prime is 114045515224021. The reversal of 114045515224000 is 422515540411.

It is an interprime number because it is at equal distance from previous prime (114045515223979) and next prime (114045515224021).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45721096 + ... + 48150904.

Almost surely, 2^{114045515224000} is an apocalyptic number.

114045515224000 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 114045515224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141240987042480).

114045515224000 is an abundant number, since it is smaller than the sum of its proper divisors (168436458860960).

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

114045515224000 is an equidigital number, since it uses as much as digits as its factorization.

114045515224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435703 (or 2435683 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

The spelling of 114045515224000 in words is "one hundred fourteen trillion, forty-five billion, five hundred fifteen million, two hundred twenty-four thousand".