22045567257342 has 96 divisors (see below), whose sum is σ = 49799478343680. Its totient is φ = 7040343960000.

The previous prime is 22045567257323. The next prime is 22045567257361. The reversal of 22045567257342 is 24375276554022.

22045567257342 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 5 + 5 + 67 + 2 + 573 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22045567257323) and next prime (22045567257361).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971544217 + ... + 971566907.

It is an arithmetic number, because the mean of its divisors is an integer number (518744566080).

Almost surely, 2^{22045567257342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22045567257342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24899739171840).

22045567257342 is an abundant number, since it is smaller than the sum of its proper divisors (27753911086338).

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

22045567257342 is a wasteful number, since it uses less digits than its factorization.

22045567257342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40070 (or 40067 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 54.

The spelling of 22045567257342 in words is "twenty-two trillion, forty-five billion, five hundred sixty-seven million, two hundred fifty-seven thousand, three hundred forty-two".