114544861516800 has 5280 divisors, whose sum is σ = 545371867966464. Its totient is φ = 23314563072000.

The previous prime is 114544861516793. The next prime is 114544861516801. The reversal of 114544861516800 is 8615168445411.

It is a happy number.

114544861516800 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 4 + 8 + 615 + 16 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

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 (114544861516801) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 156268569234 + ... + 156268569966.

Almost surely, 2^{114544861516800} is an apocalyptic number.

114544861516800 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 114544861516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272685933983232).

114544861516800 is an abundant number, since it is smaller than the sum of its proper divisors (430827006449664).

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

114544861516800 is a wasteful number, since it uses less digits than its factorization.

114544861516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 114544861516800 in words is "one hundred fourteen trillion, five hundred forty-four billion, eight hundred sixty-one million, five hundred sixteen thousand, eight hundred".