114141243302432 has 96 divisors (see below), whose sum is σ = 240064562430000. Its totient is φ = 53234189467648.

The previous prime is 114141243302419. The next prime is 114141243302447. The reversal of 114141243302432 is 234203342141411.

It can be written as a sum of positive squares in 8 ways, for example, as 42405154181776 + 71736089120656 = 6511924^2 + 8469716^2 .

It is a super-2 number, since 2×114141243302432² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114141243302392 and 114141243302401.

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, 34826018 + ... + 37962270.

Almost surely, 2^{114141243302432} 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 114141243302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120032281215000).

114141243302432 is an abundant number, since it is smaller than the sum of its proper divisors (125923319127568).

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

114141243302432 is a wasteful number, since it uses less digits than its factorization.

114141243302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136878 (or 3136870 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 114141243302432 its reverse (234203342141411), we get a palindrome (348344585443843).

The spelling of 114141243302432 in words is "one hundred fourteen trillion, one hundred forty-one billion, two hundred forty-three million, three hundred two thousand, four hundred thirty-two".