111622828734720 has 864 divisors, whose sum is σ = 417203787611520. Its totient is φ = 27461550735360.

The previous prime is 111622828734709. The next prime is 111622828734773. The reversal of 111622828734720 is 27437828226111.

111622828734720 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 22 + 82 + 8 + 73 + 472 + 0 = 666.

It is a super-2 number, since 2×111622828734720² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5052395994 + ... + 5052418086.

It is an arithmetic number, because the mean of its divisors is an integer number (482874754180).

Almost surely, 2^{111622828734720} is an apocalyptic number.

111622828734720 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 111622828734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208601893805760).

111622828734720 is an abundant number, since it is smaller than the sum of its proper divisors (305580958876800).

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

111622828734720 is a wasteful number, since it uses less digits than its factorization.

111622828734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22743 (or 22726 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 111622828734720 in words is "one hundred eleven trillion, six hundred twenty-two billion, eight hundred twenty-eight million, seven hundred thirty-four thousand, seven hundred twenty".