114454458216 has 256 divisors, whose sum is σ = 381578342400. Its totient is φ = 31078764288.

The previous prime is 114454458203. The next prime is 114454458257. The reversal of 114454458216 is 612854454411.

114454458216 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 54 + 4 + 582 + 16 = 666.

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 63 ways as a sum of consecutive naturals, for example, 5449351 + ... + 5470313.

It is an arithmetic number, because the mean of its divisors is an integer number (1490540400).

Almost surely, 2^114454458216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114454458216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190789171200).

114454458216 is an abundant number, since it is smaller than the sum of its proper divisors (267123884184).

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

114454458216 is a wasteful number, since it uses less digits than its factorization.

114454458216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21165 (or 21155 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 114454458216 in words is "one hundred fourteen billion, four hundred fifty-four million, four hundred fifty-eight thousand, two hundred sixteen".