114484584816 has 800 divisors, whose sum is σ = 424193088000. Its totient is φ = 29064075264.

The previous prime is 114484584803. The next prime is 114484584817. The reversal of 114484584816 is 618485484411.

It is a happy number.

114484584816 is a `hidden beast` number, since 1 + 1 + 4 + 48 + 4 + 584 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114484584817) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 184950555 + ... + 184951173.

It is an arithmetic number, because the mean of its divisors is an integer number (530241360).

Almost surely, 2^114484584816 is an apocalyptic number.

114484584816 is a gapful number since it is divisible by the number (16) 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 114484584816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212096544000).

114484584816 is an abundant number, since it is smaller than the sum of its proper divisors (309708503184).

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

114484584816 is a wasteful number, since it uses less digits than its factorization.

114484584816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 716 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 54.

The spelling of 114484584816 in words is "one hundred fourteen billion, four hundred eighty-four million, five hundred eighty-four thousand, eight hundred sixteen".