22145640201160 has 192 divisors, whose sum is σ = 60199690129920. Its totient is φ = 7302780011520.

The previous prime is 22145640201151. The next prime is 22145640201161. The reversal of 22145640201160 is 6110204654122.

22145640201160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (22145640201161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8785852 + ... + 11021908.

It is an arithmetic number, because the mean of its divisors is an integer number (313540052760).

Almost surely, 2^{22145640201160} is an apocalyptic number.

22145640201160 is a gapful number since it is divisible by the number (20) 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 22145640201160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30099845064960).

22145640201160 is an abundant number, since it is smaller than the sum of its proper divisors (38054049928760).

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

22145640201160 is a wasteful number, since it uses less digits than its factorization.

22145640201160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236276 (or 2236265 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 22145640201160 its reverse (6110204654122), we get a palindrome (28255844855282).

The spelling of 22145640201160 in words is "twenty-two trillion, one hundred forty-five billion, six hundred forty million, two hundred one thousand, one hundred sixty".