112464288 has 96 divisors (see below), whose sum is σ = 332277120. Its totient is φ = 37464768.

The previous prime is 112464277. The next prime is 112464293. The reversal of 112464288 is 882464211.

112464288 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 642 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69181 + ... + 70787.

It is an arithmetic number, because the mean of its divisors is an integer number (3461220).

Almost surely, 2^112464288 is an apocalyptic number.

112464288 is a gapful number since it is divisible by the number (18) 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 112464288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166138560).

112464288 is an abundant number, since it is smaller than the sum of its proper divisors (219812832).

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

112464288 is an frugal number, since it uses more digits than its factorization.

112464288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1612 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 112464288 is about 10604.9181043514. The cubic root of 112464288 is about 482.6936060718.

The spelling of 112464288 in words is "one hundred twelve million, four hundred sixty-four thousand, two hundred eighty-eight".