114243648000 has 320 divisors, whose sum is σ = 381923448192. Its totient is φ = 30297292800.

The previous prime is 114243647981. The next prime is 114243648007. The reversal of 114243648000 is 846342411.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×114243648000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114243648007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 37054459 + ... + 37057541.

Almost surely, 2^114243648000 is an apocalyptic number.

114243648000 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 114243648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190961724096).

114243648000 is an abundant number, since it is smaller than the sum of its proper divisors (267679800192).

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

114243648000 is an equidigital number, since it uses as much as digits as its factorization.

114243648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 114243648000 in words is "one hundred fourteen billion, two hundred forty-three million, six hundred forty-eight thousand".