114210432144 has 120 divisors (see below), whose sum is σ = 336573993600. Its totient is φ = 36053510400.

The previous prime is 114210432137. The next prime is 114210432179. The reversal of 114210432144 is 441234012411.

114210432144 is a `hidden beast` number, since 1 + 1 + 4 + 210 + 432 + 14 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10120297 + ... + 10131575.

It is an arithmetic number, because the mean of its divisors is an integer number (2804783280).

Almost surely, 2^114210432144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114210432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168286996800).

114210432144 is an abundant number, since it is smaller than the sum of its proper divisors (222363561456).

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

114210432144 is a wasteful number, since it uses less digits than its factorization.

114210432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15013 (or 15004 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114210432144 its reverse (441234012411), we get a palindrome (555444444555).

The spelling of 114210432144 in words is "one hundred fourteen billion, two hundred ten million, four hundred thirty-two thousand, one hundred forty-four".