22253736960 has 1408 divisors, whose sum is σ = 102343449600. Its totient is φ = 4459069440.

The previous prime is 22253736949. The next prime is 22253736961. The reversal of 22253736960 is 6963735222.

22253736960 is a `hidden beast` number, since 2 + 22 + 537 + 3 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22253736961) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 364815330 + ... + 364815390.

Almost surely, 2^22253736960 is an apocalyptic number.

22253736960 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 22253736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51171724800).

22253736960 is an abundant number, since it is smaller than the sum of its proper divisors (80089712640).

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

22253736960 is a wasteful number, since it uses less digits than its factorization.

22253736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 22253736960 in words is "twenty-two billion, two hundred fifty-three million, seven hundred thirty-six thousand, nine hundred sixty".