112382297664 has 224 divisors, whose sum is σ = 387491118336. Its totient is φ = 27895726080.

The previous prime is 112382297581. The next prime is 112382297669. The reversal of 112382297664 is 466792283211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (112382297669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107844 + ... + 486204.

It is an arithmetic number, because the mean of its divisors is an integer number (1729871064).

Almost surely, 2^112382297664 is an apocalyptic number.

112382297664 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 112382297664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193745559168).

112382297664 is an abundant number, since it is smaller than the sum of its proper divisors (275108820672).

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

112382297664 is a wasteful number, since it uses less digits than its factorization.

112382297664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378413 (or 378403 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 112382297664 in words is "one hundred twelve billion, three hundred eighty-two million, two hundred ninety-seven thousand, six hundred sixty-four".