112223664 has 320 divisors, whose sum is σ = 407116800. Its totient is φ = 28864512.

The previous prime is 112223663. The next prime is 112223669. The reversal of 112223664 is 466322211.

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.

It is not an unprimeable number, because it can be changed into a prime (112223663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1902067 + ... + 1902125.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^112223664 is an apocalyptic number.

112223664 is a gapful number since it is divisible by the number (14) 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 112223664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

112223664 is an abundant number, since it is smaller than the sum of its proper divisors (294893136).

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

112223664 is a wasteful number, since it uses less digits than its factorization.

112223664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 112223664 is about 10593.5671046159. The cubic root of 112223664 is about 482.3491097525.

Adding to 112223664 its reverse (466322211), we get a palindrome (578545875).

The spelling of 112223664 in words is "one hundred twelve million, two hundred twenty-three thousand, six hundred sixty-four".