114128616 has 128 divisors (see below), whose sum is σ = 349920000. Its totient is φ = 30277632.

The previous prime is 114128561. The next prime is 114128653. The reversal of 114128616 is 616821411.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253960 + ... + 254408.

It is an arithmetic number, because the mean of its divisors is an integer number (2733750).

Almost surely, 2^114128616 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 114128616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174960000).

114128616 is an abundant number, since it is smaller than the sum of its proper divisors (235791384).

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

114128616 is a wasteful number, since it uses less digits than its factorization.

114128616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 567 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 114128616 is about 10683.0995502242. The cubic root of 114128616 is about 485.0630392428.

The spelling of 114128616 in words is "one hundred fourteen million, one hundred twenty-eight thousand, six hundred sixteen".