248666112 has 120 divisors (see below), whose sum is σ = 743242500. Its totient is φ = 82833408.

The previous prime is 248666083. The next prime is 248666113. The reversal of 248666112 is 211666842.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (248666113) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165139 + ... + 166637.

Almost surely, 2^248666112 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 248666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371621250).

248666112 is an abundant number, since it is smaller than the sum of its proper divisors (494576388).

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

248666112 is an equidigital number, since it uses as much as digits as its factorization.

248666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1504 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 248666112 is about 15769.1506429484. The cubic root of 248666112 is about 628.8381306636.

The spelling of 248666112 in words is "two hundred forty-eight million, six hundred sixty-six thousand, one hundred twelve".