114219456 has 112 divisors (see below), whose sum is σ = 330793344. Its totient is φ = 34569216.

The previous prime is 114219437. The next prime is 114219461. The reversal of 114219456 is 654912411.

It is a congruent number.

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, 166891 + ... + 167573.

It is an arithmetic number, because the mean of its divisors is an integer number (2953512).

Almost surely, 2^114219456 is an apocalyptic number.

114219456 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 114219456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165396672).

114219456 is an abundant number, since it is smaller than the sum of its proper divisors (216573888).

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

114219456 is a wasteful number, since it uses less digits than its factorization.

114219456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 768 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 114219456 is about 10687.3502796530. The cubic root of 114219456 is about 485.1916994702.

The spelling of 114219456 in words is "one hundred fourteen million, two hundred nineteen thousand, four hundred fifty-six".