566565148081152 has 2772 divisors, whose sum is σ = 1978583299610904. Its totient is φ = 161897066496000.

The previous prime is 566565148081147. The next prime is 566565148081169. The reversal of 566565148081152 is 251180841565665.

566565148081152 is a `hidden beast` number, since 5 + 6 + 6 + 5 + 65 + 1 + 480 + 81 + 15 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 566565148081152.

It is a congruent number.

It is an unprimeable number.

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 251 ways as a sum of consecutive naturals, for example, 5295001383883 + ... + 5295001383989.

Almost surely, 2^{566565148081152} 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 566565148081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989291649805452).

566565148081152 is an abundant number, since it is smaller than the sum of its proper divisors (1412018151529752).

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

566565148081152 is a wasteful number, since it uses less digits than its factorization.

566565148081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 63.

The spelling of 566565148081152 in words is "five hundred sixty-six trillion, five hundred sixty-five billion, one hundred forty-eight million, eighty-one thousand, one hundred fifty-two".