112257666 has 48 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 35679840.

The previous prime is 112257661. The next prime is 112257679. The reversal of 112257666 is 666752211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 112257666.

It is not an unprimeable number, because it can be changed into a prime (112257661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42031 + ... + 44621.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2^112257666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112257666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

112257666 is an abundant number, since it is smaller than the sum of its proper divisors (142484094).

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

112257666 is a wasteful number, since it uses less digits than its factorization.

112257666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2708 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 112257666 is about 10595.1718249399. The cubic root of 112257666 is about 482.3978195573.

The spelling of 112257666 in words is "one hundred twelve million, two hundred fifty-seven thousand, six hundred sixty-six".