11114496 has 120 divisors (see below), whose sum is σ = 33693660. Its totient is φ = 3649536.

The previous prime is 11114489. The next prime is 11114503. The reversal of 11114496 is 69441111.

It is an interprime number because it is at equal distance from previous prime (11114489) and next prime (11114503).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (864) is a multiple of the sum of its prime divisors (72).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165855 + ... + 165921.

Almost surely, 2^11114496 is an apocalyptic number.

11114496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16846830).

11114496 is an abundant number, since it is smaller than the sum of its proper divisors (22579164).

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

11114496 is an frugal number, since it uses more digits than its factorization.

11114496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

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

The square root of 11114496 is about 3333.8410280036. The cubic root of 11114496 is about 223.1669739550.

The spelling of 11114496 in words is "eleven million, one hundred fourteen thousand, four hundred ninety-six".