11114116 has 36 divisors (see below), whose sum is σ = 21628404. Its totient is φ = 4992000.

The previous prime is 11114113. The next prime is 11114123. The reversal of 11114116 is 61141111.

It can be written as a sum of positive squares in 6 ways, for example, as 1166400 + 9947716 = 1080^2 + 3154^2 .

It is a super-2 number, since 2×11114116² = 247047148922912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11114116.

It is not an unprimeable number, because it can be changed into a prime (11114113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27516 + ... + 27916.

It is an arithmetic number, because the mean of its divisors is an integer number (600789).

Almost surely, 2^11114116 is an apocalyptic number.

It is an amenable number.

11114116 is a deficient number, since it is larger than the sum of its proper divisors (10514288).

11114116 is a wasteful number, since it uses less digits than its factorization.

11114116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 457 counting only the distinct ones).

The product of its digits is 24, while the sum is 16.

The square root of 11114116 is about 3333.7840361967. The cubic root of 11114116 is about 223.1644305973.

Adding to 11114116 its reverse (61141111), we get a palindrome (72255227).

The spelling of 11114116 in words is "eleven million, one hundred fourteen thousand, one hundred sixteen".