23222753261568 has 864 divisors, whose sum is σ = 86204685883680. Its totient is φ = 5973171240960.

The previous prime is 23222753261537. The next prime is 23222753261621. The reversal of 23222753261568 is 86516235722232.

23222753261568 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 2 + 7 + 53 + 26 + 1 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 353105808 + ... + 353171568.

It is an arithmetic number, because the mean of its divisors is an integer number (99773941995).

Almost surely, 2^{23222753261568} is an apocalyptic number.

23222753261568 is a gapful number since it is divisible by the number (28) 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 23222753261568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43102342941840).

23222753261568 is an abundant number, since it is smaller than the sum of its proper divisors (62981932622112).

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

23222753261568 is a wasteful number, since it uses less digits than its factorization.

23222753261568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65843 (or 65813 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 23222753261568 in words is "twenty-three trillion, two hundred twenty-two billion, seven hundred fifty-three million, two hundred sixty-one thousand, five hundred sixty-eight".