111626664016 has 120 divisors (see below), whose sum is σ = 258218283240. Its totient is φ = 46592372736.

The previous prime is 111626664011. The next prime is 111626664041. The reversal of 111626664016 is 610466626111.

It can be written as a sum of positive squares in 4 ways, for example, as 70905038400 + 40721625616 = 266280^2 + 201796^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 111626664016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111626664011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5682820 + ... + 5702428.

It is an arithmetic number, because the mean of its divisors is an integer number (2151819027).

Almost surely, 2^111626664016 is an apocalyptic number.

111626664016 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 111626664016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129109141620).

111626664016 is an abundant number, since it is smaller than the sum of its proper divisors (146591619224).

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

111626664016 is a wasteful number, since it uses less digits than its factorization.

111626664016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19821 (or 19808 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 111626664016 in words is "one hundred eleven billion, six hundred twenty-six million, six hundred sixty-four thousand, sixteen".