114134440312000 has 112 divisors (see below), whose sum is σ = 282672632410272. Its totient is φ = 45650757196800.

The previous prime is 114134440311973. The next prime is 114134440312003. The reversal of 114134440312000 is 213044431411.

It is a self number, because there is not a number n which added to its sum of digits gives 114134440312000.

It is not an unprimeable number, because it can be changed into a prime (114134440312003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122519979 + ... + 123448021.

Almost surely, 2^{114134440312000} is an apocalyptic number.

114134440312000 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 114134440312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141336316205136).

114134440312000 is an abundant number, since it is smaller than the sum of its proper divisors (168538192098272).

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

114134440312000 is an equidigital number, since it uses as much as digits as its factorization.

114134440312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943443 (or 943423 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 114134440312000 its reverse (213044431411), we get a palindrome (114347484743411).

The spelling of 114134440312000 in words is "one hundred fourteen trillion, one hundred thirty-four billion, four hundred forty million, three hundred twelve thousand".