22145363424 has 288 divisors, whose sum is σ = 67365043200. Its totient is φ = 6885964800.

The previous prime is 22145363363. The next prime is 22145363477. The reversal of 22145363424 is 42436354122.

22145363424 is a `hidden beast` number, since 2 + 2 + 14 + 5 + 3 + 634 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52852687 + ... + 52853105.

It is an arithmetic number, because the mean of its divisors is an integer number (233906400).

Almost surely, 2^22145363424 is an apocalyptic number.

22145363424 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 22145363424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33682521600).

22145363424 is an abundant number, since it is smaller than the sum of its proper divisors (45219679776).

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

22145363424 is a wasteful number, since it uses less digits than its factorization.

22145363424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 22145363424 in words is "twenty-two billion, one hundred forty-five million, three hundred sixty-three thousand, four hundred twenty-four".