114668864562784 has 96 divisors (see below), whose sum is σ = 258832897968960. Its totient is φ = 48986110722048.

The previous prime is 114668864562781. The next prime is 114668864562971. The reversal of 114668864562784 is 487265468866411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114668864562784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114668864562781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1867266672 + ... + 1867328080.

It is an arithmetic number, because the mean of its divisors is an integer number (2696176020510).

Almost surely, 2^{114668864562784} is an apocalyptic number.

114668864562784 is a gapful number since it is divisible by the number (14) 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 114668864562784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129416448984480).

114668864562784 is an abundant number, since it is smaller than the sum of its proper divisors (144164033406176).

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

114668864562784 is a wasteful number, since it uses less digits than its factorization.

114668864562784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88040 (or 88032 counting only the distinct ones).

The product of its digits is 2972712960, while the sum is 76.

The spelling of 114668864562784 in words is "one hundred fourteen trillion, six hundred sixty-eight billion, eight hundred sixty-four million, five hundred sixty-two thousand, seven hundred eighty-four".