111164329920 has 448 divisors, whose sum is σ = 418942089216. Its totient is φ = 24445255680.

The previous prime is 111164329909. The next prime is 111164329921. The reversal of 111164329920 is 29923461111.

111164329920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111164329921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20110197 + ... + 20115723.

It is an arithmetic number, because the mean of its divisors is an integer number (935138592).

Almost surely, 2^111164329920 is an apocalyptic number.

111164329920 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 111164329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209471044608).

111164329920 is an abundant number, since it is smaller than the sum of its proper divisors (307777759296).

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

111164329920 is a wasteful number, since it uses less digits than its factorization.

111164329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 111164329920 in words is "one hundred eleven billion, one hundred sixty-four million, three hundred twenty-nine thousand, nine hundred twenty".