22253399974368 has 576 divisors, whose sum is σ = 68914460422080. Its totient is φ = 6785580662784.

The previous prime is 22253399974339. The next prime is 22253399974369. The reversal of 22253399974368 is 86347999335222.

22253399974368 is a `hidden beast` number, since 2 + 2 + 2 + 53 + 399 + 97 + 43 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 22253399974296 and 22253399974305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22253399974369) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21967817830 + ... + 21967818842.

It is an arithmetic number, because the mean of its divisors is an integer number (119643160455).

Almost surely, 2^{22253399974368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22253399974368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34457230211040).

22253399974368 is an abundant number, since it is smaller than the sum of its proper divisors (46661060447712).

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

22253399974368 is a wasteful number, since it uses less digits than its factorization.

22253399974368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1880 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 22253399974368 in words is "twenty-two trillion, two hundred fifty-three billion, three hundred ninety-nine million, nine hundred seventy-four thousand, three hundred sixty-eight".