111572561969664 has 320 divisors, whose sum is σ = 304429027795200. Its totient is φ = 36302935818240.

The previous prime is 111572561969663. The next prime is 111572561969681. The reversal of 111572561969664 is 466969165275111.

It is not an unprimeable number, because it can be changed into a prime (111572561969663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5086033704 + ... + 5086055640.

It is an arithmetic number, because the mean of its divisors is an integer number (951340711860).

Almost surely, 2^{111572561969664} 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 111572561969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152214513897600).

111572561969664 is an abundant number, since it is smaller than the sum of its proper divisors (192856465825536).

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

111572561969664 is a wasteful number, since it uses less digits than its factorization.

111572561969664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22491 (or 22475 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 69.

The spelling of 111572561969664 in words is "one hundred eleven trillion, five hundred seventy-two billion, five hundred sixty-one million, nine hundred sixty-nine thousand, six hundred sixty-four".