22163077440 has 672 divisors, whose sum is σ = 95148318720. Its totient is φ = 4796983296.

The previous prime is 22163077379. The next prime is 22163077451. The reversal of 22163077440 is 4477036122.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×22163077440² (a number of 21 digits) contains 22 as substring.

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 = 22163077395 and 22163077404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10341009 + ... + 10343151.

It is an arithmetic number, because the mean of its divisors is an integer number (141589760).

Almost surely, 2^22163077440 is an apocalyptic number.

22163077440 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 22163077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47574159360).

22163077440 is an abundant number, since it is smaller than the sum of its proper divisors (72985241280).

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

22163077440 is a wasteful number, since it uses less digits than its factorization.

22163077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 22163077440 in words is "twenty-two billion, one hundred sixty-three million, seventy-seven thousand, four hundred forty".