114045516 has 96 divisors (see below), whose sum is σ = 329515200. Its totient is φ = 33868800.

The previous prime is 114045511. The next prime is 114045517. The reversal of 114045516 is 615540411.

114045516 is a `hidden beast` number, since 1 + 140 + 4 + 5 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 114045516.

It is not an unprimeable number, because it can be changed into a prime (114045511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39316 + ... + 42116.

It is an arithmetic number, because the mean of its divisors is an integer number (3432450).

Almost surely, 2^114045516 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 114045516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164757600).

114045516 is an abundant number, since it is smaller than the sum of its proper divisors (215469684).

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

114045516 is a wasteful number, since it uses less digits than its factorization.

114045516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 114045516 is about 10679.2095213082. The cubic root of 114045516 is about 484.9452816718.

Adding to 114045516 its reverse (615540411), we get a palindrome (729585927).

It can be divided in two parts, 1140 and 45516, that added together give a 6-th power (46656 = 6⁶).

The spelling of 114045516 in words is "one hundred fourteen million, forty-five thousand, five hundred sixteen".