114041324142032 has 80 divisors (see below), whose sum is σ = 254391184588800. Its totient is φ = 48513209212800.

The previous prime is 114041324142019. The next prime is 114041324142037. The reversal of 114041324142032 is 230241423140411.

It is a super-2 number, since 2×114041324142032² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114041324142032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114041324142037) 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, 18994319 + ... + 24266577.

It is an arithmetic number, because the mean of its divisors is an integer number (3179889807360).

Almost surely, 2^{114041324142032} 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 114041324142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127195592294400).

114041324142032 is an abundant number, since it is smaller than the sum of its proper divisors (140349860446768).

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

114041324142032 is a wasteful number, since it uses less digits than its factorization.

114041324142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273704 (or 5273698 counting only the distinct ones).

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

Adding to 114041324142032 its reverse (230241423140411), we get a palindrome (344282747282443).

The spelling of 114041324142032 in words is "one hundred fourteen trillion, forty-one billion, three hundred twenty-four million, one hundred forty-two thousand, thirty-two".