112768211936 has 96 divisors (see below), whose sum is σ = 234101145600. Its totient is φ = 53397527040.

The previous prime is 112768211921. The next prime is 112768211987. The reversal of 112768211936 is 639112867211.

It is a super-2 number, since 2×112768211936² (a number of 23 digits) contains 22 as substring.

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, 22026785 + ... + 22031903.

It is an arithmetic number, because the mean of its divisors is an integer number (2438553600).

Almost surely, 2^112768211936 is an apocalyptic number.

112768211936 is a gapful number since it is divisible by the number (16) 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 112768211936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117050572800).

112768211936 is an abundant number, since it is smaller than the sum of its proper divisors (121332933664).

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

112768211936 is a wasteful number, since it uses less digits than its factorization.

112768211936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5624 counting only the distinct ones).

The product of its digits is 217728, while the sum is 47.

The spelling of 112768211936 in words is "one hundred twelve billion, seven hundred sixty-eight million, two hundred eleven thousand, nine hundred thirty-six".