111657222144 has 360 divisors, whose sum is σ = 359696896020. Its totient is φ = 34313601024.

The previous prime is 111657222143. The next prime is 111657222211. The reversal of 111657222144 is 441222756111.

111657222144 is a `hidden beast` number, since 11 + 16 + 572 + 2 + 21 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111609446400 + 47775744 = 334080^2 + 6912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111657222099 and 111657222108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111657222143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138018412 + ... + 138019220.

Almost surely, 2^111657222144 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 111657222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179848448010).

111657222144 is an abundant number, since it is smaller than the sum of its proper divisors (248039673876).

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

111657222144 is an frugal number, since it uses more digits than its factorization.

111657222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 827 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

Adding to 111657222144 its reverse (441222756111), we get a palindrome (552879978255).

The spelling of 111657222144 in words is "one hundred eleven billion, six hundred fifty-seven million, two hundred twenty-two thousand, one hundred forty-four".