114335513411152 has 80 divisors (see below), whose sum is σ = 244754577204480. Its totient is φ = 51306154099200.

The previous prime is 114335513411143. The next prime is 114335513411177. The reversal of 114335513411152 is 251114315533411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107099718 + ... + 108162010.

It is an arithmetic number, because the mean of its divisors is an integer number (3059432215056).

Almost surely, 2^{114335513411152} 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 114335513411152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122377288602240).

114335513411152 is an abundant number, since it is smaller than the sum of its proper divisors (130419063793328).

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

114335513411152 is a wasteful number, since it uses less digits than its factorization.

114335513411152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070132 (or 1070126 counting only the distinct ones).

The product of its digits is 108000, while the sum is 40.

Adding to 114335513411152 its reverse (251114315533411), we get a palindrome (365449828944563).

The spelling of 114335513411152 in words is "one hundred fourteen trillion, three hundred thirty-five billion, five hundred thirteen million, four hundred eleven thousand, one hundred fifty-two".