22267242144 has 480 divisors, whose sum is σ = 78376636800. Its totient is φ = 6067353600.

The previous prime is 22267242143. The next prime is 22267242191. The reversal of 22267242144 is 44124276222.

22267242144 is a `hidden beast` number, since 2 + 226 + 7 + 2 + 421 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22267242099 and 22267242108.

It is not an unprimeable number, because it can be changed into a prime (22267242143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53143567 + ... + 53143985.

It is an arithmetic number, because the mean of its divisors is an integer number (163284660).

Almost surely, 2^22267242144 is an apocalyptic number.

22267242144 is a gapful number since it is divisible by the number (24) 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 22267242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39188318400).

22267242144 is an abundant number, since it is smaller than the sum of its proper divisors (56109394656).

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

22267242144 is a wasteful number, since it uses less digits than its factorization.

22267242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 561 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The spelling of 22267242144 in words is "twenty-two billion, two hundred sixty-seven million, two hundred forty-two thousand, one hundred forty-four".