114244987852800 has 5760 divisors, whose sum is σ = 530759149240320. Its totient is φ = 23734989619200.

The previous prime is 114244987852799. The next prime is 114244987852813. The reversal of 114244987852800 is 8258789442411.

114244987852800 is a `hidden beast` number, since 1 + 1 + 4 + 24 + 4 + 9 + 87 + 8 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1564999833564 + ... + 1564999833636.

It is an arithmetic number, because the mean of its divisors is an integer number (92145685632).

Almost surely, 2^{114244987852800} is an apocalyptic number.

114244987852800 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 114244987852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265379574620160).

114244987852800 is an abundant number, since it is smaller than the sum of its proper divisors (416514161387520).

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

114244987852800 is a wasteful number, since it uses less digits than its factorization.

114244987852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 114244987852800 in words is "one hundred fourteen trillion, two hundred forty-four billion, nine hundred eighty-seven million, eight hundred fifty-two thousand, eight hundred".