114616064 has 36 divisors (see below), whose sum is σ = 230501880. Its totient is φ = 56878080.

The previous prime is 114616009. The next prime is 114616067. The reversal of 114616064 is 460616411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114616067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33974 + ... + 37194.

It is an arithmetic number, because the mean of its divisors is an integer number (6402830).

Almost surely, 2^114616064 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 114616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115250940).

114616064 is an abundant number, since it is smaller than the sum of its proper divisors (115885816).

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

114616064 is an equidigital number, since it uses as much as digits as its factorization.

114616064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 114616064 is about 10705.8892204244. The cubic root of 114616064 is about 485.7526331233.

The spelling of 114616064 in words is "one hundred fourteen million, six hundred sixteen thousand, sixty-four".