18746112 has 144 divisors (see below), whose sum is σ = 62399232. Its totient is φ = 4853760.

The previous prime is 18746111. The next prime is 18746113. The reversal of 18746112 is 21164781.

It is an interprime number because it is at equal distance from previous prime (18746111) and next prime (18746113).

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.

It is a self number, because there is not a number n which added to its sum of digits gives 18746112.

It is not an unprimeable number, because it can be changed into a prime (18746111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58978 + ... + 59294.

It is an arithmetic number, because the mean of its divisors is an integer number (433328).

Almost surely, 2^18746112 is an apocalyptic number.

18746112 is a gapful number since it is divisible by the number (12) 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 18746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31199616).

18746112 is an abundant number, since it is smaller than the sum of its proper divisors (43653120).

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

18746112 is a wasteful number, since it uses less digits than its factorization.

18746112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 18746112 is about 4329.6780480770. The cubic root of 18746112 is about 265.6462782862.

The spelling of 18746112 in words is "eighteen million, seven hundred forty-six thousand, one hundred twelve".