114064192 has 112 divisors (see below), whose sum is σ = 264078720. Its totient is φ = 48384000.

The previous prime is 114064187. The next prime is 114064211. The reversal of 114064192 is 291460411.

It is a super-2 number, since 2×114064192² = 26021279793225728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114064192.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 755317 + ... + 755467.

Almost surely, 2^114064192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132039360).

114064192 is an abundant number, since it is smaller than the sum of its proper divisors (150014528).

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

114064192 is a wasteful number, since it uses less digits than its factorization.

114064192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 114064192 is about 10680.0838948016. The cubic root of 114064192 is about 484.9717516406.

The spelling of 114064192 in words is "one hundred fourteen million, sixty-four thousand, one hundred ninety-two".