114400885824 has 189 divisors, whose sum is σ = 348753602847. Its totient is φ = 35847180288.

The previous prime is 114400885801. The next prime is 114400885853. The reversal of 114400885824 is 428588004411.

The square root of 114400885824 is 338232.

It is a perfect power (a square), and thus also a powerful number.

114400885824 is a `hidden beast` number, since 114 + 400 + 88 + 58 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15070017600 + 99330868224 = 122760^2 + 315168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114400885824.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 137998242 + ... + 137999070.

Almost surely, 2^114400885824 is an apocalyptic number.

114400885824 is the 338232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114400885824

114400885824 is an abundant number, since it is smaller than the sum of its proper divisors (234352717023).

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

114400885824 is an frugal number, since it uses more digits than its factorization.

114400885824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 114400885824 in words is "one hundred fourteen billion, four hundred million, eight hundred eighty-five thousand, eight hundred twenty-four".