114223680 has 168 divisors, whose sum is σ = 416170872. Its totient is φ = 28655616.

The previous prime is 114223679. The next prime is 114223691. The reversal of 114223680 is 86322411.

It can be written as a sum of positive squares in 4 ways, for example, as 16451136 + 97772544 = 4056^2 + 9888^2 .

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 23 ways as a sum of consecutive naturals, for example, 47794 + ... + 50126.

Almost surely, 2^114223680 is an apocalyptic number.

114223680 is a gapful number since it is divisible by the number (10) 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 114223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208085436).

114223680 is an abundant number, since it is smaller than the sum of its proper divisors (301947192).

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

114223680 is a wasteful number, since it uses less digits than its factorization.

114223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114223680 is about 10687.5478946295. The cubic root of 114223680 is about 485.1976804257.

It can be divided in two parts, 1142236 and 80, that added together give a triangular number (1142316 = T₁₅₁₁).

The spelling of 114223680 in words is "one hundred fourteen million, two hundred twenty-three thousand, six hundred eighty".