114409116 has 72 divisors (see below), whose sum is σ = 310643424. Its totient is φ = 35374080.

The previous prime is 114409081. The next prime is 114409117. The reversal of 114409116 is 611904411.

It is a self number, because there is not a number n which added to its sum of digits gives 114409116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114409117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42136 + ... + 44768.

It is an arithmetic number, because the mean of its divisors is an integer number (4314492).

Almost surely, 2^114409116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114409116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155321712).

114409116 is an abundant number, since it is smaller than the sum of its proper divisors (196234308).

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

114409116 is a wasteful number, since it uses less digits than its factorization.

114409116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 114409116 is about 10696.2197060457. The cubic root of 114409116 is about 485.4601025788.

The spelling of 114409116 in words is "one hundred fourteen million, four hundred nine thousand, one hundred sixteen".