114817967104 has 33 divisors (see below), whose sum is σ = 229545485017. Its totient is φ = 57403561984.

The previous prime is 114817967051. The next prime is 114817967111. The reversal of 114817967104 is 401769718411.

The square root of 114817967104 is 338848.

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

114817967104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15265096704 + 99552870400 = 123552^2 + 315520^2 .

It is a super-2 number, since 2×114817967104² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 10837842 + ... + 10848430.

Almost surely, 2^114817967104 is an apocalyptic number.

114817967104 is the 338848-th square number.

It is an amenable number.

114817967104 is a deficient number, since it is larger than the sum of its proper divisors (114727517913).

114817967104 is an frugal number, since it uses more digits than its factorization.

114817967104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21198 (or 10591 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 49.

Multiplying 114817967104 by its sum of digits (49), we get a square (5626080388096 = 2371936²).

The spelling of 114817967104 in words is "one hundred fourteen billion, eight hundred seventeen million, nine hundred sixty-seven thousand, one hundred four".