114564628992 has 320 divisors, whose sum is σ = 350172408960. Its totient is φ = 32961331200.

The previous prime is 114564628987. The next prime is 114564628999. The reversal of 114564628992 is 299826465411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114564628999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29887108 + ... + 29890940.

It is an arithmetic number, because the mean of its divisors is an integer number (1094288778).

Almost surely, 2^114564628992 is an apocalyptic number.

114564628992 is a gapful number since it is divisible by the number (12) 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 114564628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175086204480).

114564628992 is an abundant number, since it is smaller than the sum of its proper divisors (235607779968).

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

114564628992 is a wasteful number, since it uses less digits than its factorization.

114564628992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3939 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The spelling of 114564628992 in words is "one hundred fourteen billion, five hundred sixty-four million, six hundred twenty-eight thousand, nine hundred ninety-two".