22051950771456 has 432 divisors, whose sum is σ = 65621996923392. Its totient is φ = 7118718566400.

The previous prime is 22051950771407. The next prime is 22051950771457. The reversal of 22051950771456 is 65417705915022.

22051950771456 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 19 + 507 + 71 + 4 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22051950771457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14199581176 + ... + 14199582728.

It is an arithmetic number, because the mean of its divisors is an integer number (151902770656).

Almost surely, 2^{22051950771456} 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 22051950771456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32810998461696).

22051950771456 is an abundant number, since it is smaller than the sum of its proper divisors (43570046151936).

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

22051950771456 is a wasteful number, since it uses less digits than its factorization.

22051950771456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 22051950771456 in words is "twenty-two trillion, fifty-one billion, nine hundred fifty million, seven hundred seventy-one thousand, four hundred fifty-six".