22261808544 has 48 divisors (see below), whose sum is σ = 58857694560. Its totient is φ = 7367212800.

The previous prime is 22261808531. The next prime is 22261808549. The reversal of 22261808544 is 44580816222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22261808544² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22261808496 and 22261808505.

It is not an unprimeable number, because it can be changed into a prime (22261808549) 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 7 ways as a sum of consecutive naturals, for example, 820807 + ... + 847494.

It is an arithmetic number, because the mean of its divisors is an integer number (1226201970).

Almost surely, 2^22261808544 is an apocalyptic number.

22261808544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22261808544 is an abundant number, since it is smaller than the sum of its proper divisors (36595886016).

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

22261808544 is a wasteful number, since it uses less digits than its factorization.

22261808544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668453 (or 1668445 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 22261808544 in words is "twenty-two billion, two hundred sixty-one million, eight hundred eight thousand, five hundred forty-four".