114048192 has 112 divisors (see below), whose sum is σ = 312765440. Its totient is φ = 36661248.

The previous prime is 114048149. The next prime is 114048217. The reversal of 114048192 is 291840411.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107213 + ... + 1107315.

Almost surely, 2^114048192 is an apocalyptic number.

114048192 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 114048192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156382720).

114048192 is an abundant number, since it is smaller than the sum of its proper divisors (198717248).

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

114048192 is a wasteful number, since it uses less digits than its factorization.

114048192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 114048192 is about 10679.3348107455. The cubic root of 114048192 is about 484.9490746119.

The spelling of 114048192 in words is "one hundred fourteen million, forty-eight thousand, one hundred ninety-two".