114321410000 has 300 divisors, whose sum is σ = 324002739060. Its totient is φ = 38949120000.

The previous prime is 114321409841. The next prime is 114321410033. The reversal of 114321410000 is 14123411.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 102353925184 + 11967484816 = 319928^2 + 109396^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 88689356 + ... + 88690644.

Almost surely, 2^114321410000 is an apocalyptic number.

114321410000 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 114321410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162001369530).

114321410000 is an abundant number, since it is smaller than the sum of its proper divisors (209681329060).

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

114321410000 is a wasteful number, since it uses less digits than its factorization.

114321410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 114321410000 its reverse (14123411), we get a palindrome (114335533411).

The spelling of 114321410000 in words is "one hundred fourteen billion, three hundred twenty-one million, four hundred ten thousand".