114326545120 has 96 divisors (see below), whose sum is σ = 276831082080. Its totient is φ = 44591554560.

The previous prime is 114326545097. The next prime is 114326545129. The reversal of 114326545120 is 21545623411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114326545129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17269171 + ... + 17275789.

It is an arithmetic number, because the mean of its divisors is an integer number (2883657105).

Almost surely, 2^114326545120 is an apocalyptic number.

114326545120 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 114326545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138415541040).

114326545120 is an abundant number, since it is smaller than the sum of its proper divisors (162504536960).

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

114326545120 is a wasteful number, since it uses less digits than its factorization.

114326545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 114326545120 in words is "one hundred fourteen billion, three hundred twenty-six million, five hundred forty-five thousand, one hundred twenty".