114511313543120 has 160 divisors (see below), whose sum is σ = 287471825625600. Its totient is φ = 42170184271872.

The previous prime is 114511313543117. The next prime is 114511313543173. The reversal of 114511313543120 is 21345313115411.

114511313543120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114511313543120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624019541 + ... + 624203019.

It is an arithmetic number, because the mean of its divisors is an integer number (1796698910160).

Almost surely, 2^{114511313543120} is an apocalyptic number.

114511313543120 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 114511313543120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143735912812800).

114511313543120 is an abundant number, since it is smaller than the sum of its proper divisors (172960512082480).

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

114511313543120 is a wasteful number, since it uses less digits than its factorization.

114511313543120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185077 (or 185071 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

Adding to 114511313543120 its reverse (21345313115411), we get a palindrome (135856626658531).

The spelling of 114511313543120 in words is "one hundred fourteen trillion, five hundred eleven billion, three hundred thirteen million, five hundred forty-three thousand, one hundred twenty".