14822181120 has 144 divisors (see below), whose sum is σ = 47410171200. Its totient is φ = 3946586112.

The previous prime is 14822181107. The next prime is 14822181137. The reversal of 14822181120 is 2118122841.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2904331 + ... + 2909429.

It is an arithmetic number, because the mean of its divisors is an integer number (329237300).

Almost surely, 2^14822181120 is an apocalyptic number.

14822181120 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 14822181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23705085600).

14822181120 is an abundant number, since it is smaller than the sum of its proper divisors (32587990080).

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

14822181120 is an equidigital number, since it uses as much as digits as its factorization.

14822181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The spelling of 14822181120 in words is "fourteen billion, eight hundred twenty-two million, one hundred eighty-one thousand, one hundred twenty".