114543918720 has 1024 divisors, whose sum is σ = 522281779200. Its totient is φ = 23025254400.

The previous prime is 114543918667. The next prime is 114543918733. The reversal of 114543918720 is 27819345411.

114543918720 is a `hidden beast` number, since 1 + 1 + 4 + 543 + 9 + 1 + 87 + 20 = 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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41245972 + ... + 41248748.

It is an arithmetic number, because the mean of its divisors is an integer number (510040800).

Almost surely, 2^114543918720 is an apocalyptic number.

114543918720 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 114543918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261140889600).

114543918720 is an abundant number, since it is smaller than the sum of its proper divisors (407737860480).

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

114543918720 is a wasteful number, since it uses less digits than its factorization.

114543918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 114543918720 in words is "one hundred fourteen billion, five hundred forty-three million, nine hundred eighteen thousand, seven hundred twenty".