114011430244000 has 96 divisors (see below), whose sum is σ = 280224643922496. Its totient is φ = 45588526547200.

The previous prime is 114011430243959. The next prime is 114011430244037. The reversal of 114011430244000 is 442034110411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6359187 + ... + 16384813.

It is an arithmetic number, because the mean of its divisors is an integer number (2919006707526).

Almost surely, 2^{114011430244000} is an apocalyptic number.

114011430244000 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 114011430244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140112321961248).

114011430244000 is an abundant number, since it is smaller than the sum of its proper divisors (166213213678496).

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

114011430244000 is a wasteful number, since it uses less digits than its factorization.

114011430244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10028495 (or 10028477 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 114011430244000 its reverse (442034110411), we get a palindrome (114453464354411).

The spelling of 114011430244000 in words is "one hundred fourteen trillion, eleven billion, four hundred thirty million, two hundred forty-four thousand".