22245334461936 has 1280 divisors, whose sum is σ = 72955330560000. Its totient is φ = 6459131289600.

The previous prime is 22245334461907. The next prime is 22245334462067. The reversal of 22245334461936 is 63916443354222.

22245334461936 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 5 + 3 + 3 + 446 + 193 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 116467719601 + ... + 116467719791.

It is an arithmetic number, because the mean of its divisors is an integer number (56996352000).

Almost surely, 2^{22245334461936} 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 22245334461936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36477665280000).

22245334461936 is an abundant number, since it is smaller than the sum of its proper divisors (50709996098064).

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

22245334461936 is a wasteful number, since it uses less digits than its factorization.

22245334461936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 22245334461936 in words is "twenty-two trillion, two hundred forty-five billion, three hundred thirty-four million, four hundred sixty-one thousand, nine hundred thirty-six".