114191856 has 200 divisors, whose sum is σ = 359735904. Its totient is φ = 34836480.

The previous prime is 114191851. The next prime is 114191863. The reversal of 114191856 is 658191411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114191856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114191851) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1564236 + ... + 1564308.

Almost surely, 2^114191856 is an apocalyptic number.

114191856 is a gapful number since it is divisible by the number (16) 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 114191856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179867952).

114191856 is an abundant number, since it is smaller than the sum of its proper divisors (245544048).

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

114191856 is a wasteful number, since it uses less digits than its factorization.

114191856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The square root of 114191856 is about 10686.0589554803. The cubic root of 114191856 is about 485.1526157328.

The spelling of 114191856 in words is "one hundred fourteen million, one hundred ninety-one thousand, eight hundred fifty-six".