22645138320 has 540 divisors, whose sum is σ = 94018557204. Its totient is φ = 4869365760.

The previous prime is 22645138309. The next prime is 22645138357. The reversal of 22645138320 is 2383154622.

22645138320 is a `hidden beast` number, since 2 + 2 + 64 + 513 + 83 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2181263616 + 20463874704 = 46704^2 + 143052^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10194810 + ... + 10197030.

Almost surely, 2^22645138320 is an apocalyptic number.

22645138320 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 22645138320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47009278602).

22645138320 is an abundant number, since it is smaller than the sum of its proper divisors (71373418884).

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

22645138320 is a wasteful number, since it uses less digits than its factorization.

22645138320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22645138320 in words is "twenty-two billion, six hundred forty-five million, one hundred thirty-eight thousand, three hundred twenty".