114414140030432 has 96 divisors (see below), whose sum is σ = 249199578238464. Its totient is φ = 51272251430400.

The previous prime is 114414140030431. The next prime is 114414140030447. The reversal of 114414140030432 is 234030041414411.

It is a super-2 number, since 2×114414140030432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114414140030431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049934413 + ... + 1050043379.

It is an arithmetic number, because the mean of its divisors is an integer number (2595828939984).

Almost surely, 2^{114414140030432} 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 114414140030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124599789119232).

114414140030432 is an abundant number, since it is smaller than the sum of its proper divisors (134785438208032).

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

114414140030432 is a wasteful number, since it uses less digits than its factorization.

114414140030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151072 (or 151064 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 114414140030432 its reverse (234030041414411), we get a palindrome (348444181444843).

The spelling of 114414140030432 in words is "one hundred fourteen trillion, four hundred fourteen billion, one hundred forty million, thirty thousand, four hundred thirty-two".