114999865344000 has 3840 divisors, whose sum is σ = 532441231882560. Its totient is φ = 24180896563200.

The previous prime is 114999865343983. The next prime is 114999865344041. The reversal of 114999865344000 is 443568999411.

114999865344000 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 9 + 98 + 6 + 534 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 239 ways as a sum of consecutive naturals, for example, 392491007854 + ... + 392491008146.

Almost surely, 2^{114999865344000} is an apocalyptic number.

114999865344000 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 114999865344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266220615941280).

114999865344000 is an abundant number, since it is smaller than the sum of its proper divisors (417441366538560).

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

114999865344000 is an frugal number, since it uses more digits than its factorization.

114999865344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 114999865344000 in words is "one hundred fourteen trillion, nine hundred ninety-nine billion, eight hundred sixty-five million, three hundred forty-four thousand".