111638799326208 has 1408 divisors, whose sum is σ = 393451610112000. Its totient is φ = 27868874342400.

The previous prime is 111638799326207. The next prime is 111638799326261. The reversal of 111638799326208 is 802623997836111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111638799326207) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56411721763 + ... + 56411723741.

It is an arithmetic number, because the mean of its divisors is an integer number (279440064000).

Almost surely, 2^{111638799326208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111638799326208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196725805056000).

111638799326208 is an abundant number, since it is smaller than the sum of its proper divisors (281812810785792).

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

111638799326208 is a wasteful number, since it uses less digits than its factorization.

111638799326208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 111638799326208 in words is "one hundred eleven trillion, six hundred thirty-eight billion, seven hundred ninety-nine million, three hundred twenty-six thousand, two hundred eight".