114816816 has 60 divisors (see below), whose sum is σ = 322367760. Its totient is φ = 38148480.

The previous prime is 114816811. The next prime is 114816833. The reversal of 114816816 is 618618411.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (114816811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50586 + ... + 52806.

It is an arithmetic number, because the mean of its divisors is an integer number (5372796).

Almost surely, 2^114816816 is an apocalyptic number.

114816816 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 114816816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161183880).

114816816 is an abundant number, since it is smaller than the sum of its proper divisors (207550944).

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

114816816 is a wasteful number, since it uses less digits than its factorization.

114816816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2585 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 114816816 is about 10715.2608927641. The cubic root of 114816816 is about 486.0360690601.

The spelling of 114816816 in words is "one hundred fourteen million, eight hundred sixteen thousand, eight hundred sixteen".