114016824 has 48 divisors (see below), whose sum is σ = 326963520. Its totient is φ = 35769600.

The previous prime is 114016817. The next prime is 114016843. The reversal of 114016824 is 428610411.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 45352 + ... + 47799.

It is an arithmetic number, because the mean of its divisors is an integer number (6811740).

Almost surely, 2^114016824 is an apocalyptic number.

It is an amenable number.

114016824 is an abundant number, since it is smaller than the sum of its proper divisors (212946696).

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

114016824 is a wasteful number, since it uses less digits than its factorization.

114016824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93180 (or 93173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 114016824 is about 10677.8660789504. The cubic root of 114016824 is about 484.9046101413.

It can be divided in two parts, 11401 and 6824, that added together give a square (18225 = 135²).

The spelling of 114016824 in words is "one hundred fourteen million, sixteen thousand, eight hundred twenty-four".