114035616 has 72 divisors (see below), whose sum is σ = 326368224. Its totient is φ = 37768320.

The previous prime is 114035599. The next prime is 114035641. The reversal of 114035616 is 616530411.

114035616 is a `hidden beast` number, since 1 + 1 + 40 + 3 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 114035616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46911 + ... + 49281.

It is an arithmetic number, because the mean of its divisors is an integer number (4532892).

Almost surely, 2^114035616 is an apocalyptic number.

114035616 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 114035616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163184112).

114035616 is an abundant number, since it is smaller than the sum of its proper divisors (212332608).

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

114035616 is a wasteful number, since it uses less digits than its factorization.

114035616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 114035616 is about 10678.7459937953. The cubic root of 114035616 is about 484.9312489786.

The spelling of 114035616 in words is "one hundred fourteen million, thirty-five thousand, six hundred sixteen".