22355581248 has 1008 divisors, whose sum is σ = 91065461760. Its totient is φ = 5148057600.

The previous prime is 22355581243. The next prime is 22355581309. The reversal of 22355581248 is 84218555322.

22355581248 is a `hidden beast` number, since 2 + 2 + 355 + 58 + 1 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

Its product of digits (768000) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22355581243) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117044833 + ... + 117045023.

It is an arithmetic number, because the mean of its divisors is an integer number (90342720).

Almost surely, 2^22355581248 is an apocalyptic number.

22355581248 is a gapful number since it is divisible by the number (28) 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 22355581248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532730880).

22355581248 is an abundant number, since it is smaller than the sum of its proper divisors (68709880512).

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

22355581248 is a wasteful number, since it uses less digits than its factorization.

22355581248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The spelling of 22355581248 in words is "twenty-two billion, three hundred fifty-five million, five hundred eighty-one thousand, two hundred forty-eight".