112072491840 has 448 divisors, whose sum is σ = 385540300800. Its totient is φ = 27479015424.

The previous prime is 112072491821. The next prime is 112072491847. The reversal of 112072491840 is 48194270211.

It is a super-3 number, since 3×112072491840³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112072491847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230128077 + ... + 230128563.

Almost surely, 2^112072491840 is an apocalyptic number.

112072491840 is a gapful number since it is divisible by the number (10) 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 112072491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192770150400).

112072491840 is an abundant number, since it is smaller than the sum of its proper divisors (273467808960).

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

112072491840 is a wasteful number, since it uses less digits than its factorization.

112072491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 112072491840 in words is "one hundred twelve billion, seventy-two million, four hundred ninety-one thousand, eight hundred forty".