114015616 has 64 divisors (see below), whose sum is σ = 266893200. Its totient is φ = 47831040.

The previous prime is 114015607. The next prime is 114015619. The reversal of 114015616 is 616510411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114015619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15190 + ... + 21418.

Almost surely, 2^114015616 is an apocalyptic number.

114015616 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 114015616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133446600).

114015616 is an abundant number, since it is smaller than the sum of its proper divisors (152877584).

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

114015616 is a wasteful number, since it uses less digits than its factorization.

114015616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6267 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 114015616 is about 10677.8095131914. The cubic root of 114015616 is about 484.9028976255.

The spelling of 114015616 in words is "one hundred fourteen million, fifteen thousand, six hundred sixteen".