249722868365568 has 648 divisors, whose sum is σ = 784540498833000. Its totient is φ = 76358219857920.

The previous prime is 249722868365561. The next prime is 249722868365603. The reversal of 249722868365568 is 865563868227942.

249722868365568 is a `hidden beast` number, since 2 + 4 + 9 + 7 + 2 + 28 + 6 + 8 + 36 + 556 + 8 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 161437150347264 + 88285718018304 = 12705792^2 + 9396048^2 .

It is not an unprimeable number, because it can be changed into a prime (249722868365561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43437615558 + ... + 43437621306.

Almost surely, 2^{249722868365568} 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 249722868365568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392270249416500).

249722868365568 is an abundant number, since it is smaller than the sum of its proper divisors (534817630467432).

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

249722868365568 is a wasteful number, since it uses less digits than its factorization.

249722868365568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6475 (or 6445 counting only the distinct ones).

The product of its digits is 16721510400, while the sum is 81.

The spelling of 249722868365568 in words is "two hundred forty-nine trillion, seven hundred twenty-two billion, eight hundred sixty-eight million, three hundred sixty-five thousand, five hundred sixty-eight".