114270144000 has 160 divisors (see below), whose sum is σ = 379920299616. Its totient is φ = 30471987200.

The previous prime is 114270143993. The next prime is 114270144019. The reversal of 114270144000 is 441072411.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105579 + ... + 489578.

Almost surely, 2^114270144000 is an apocalyptic number.

114270144000 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 114270144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189960149808).

114270144000 is an abundant number, since it is smaller than the sum of its proper divisors (265650155616).

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

114270144000 is an frugal number, since it uses more digits than its factorization.

114270144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595193 (or 595167 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The spelling of 114270144000 in words is "one hundred fourteen billion, two hundred seventy million, one hundred forty-four thousand".