566349534185472 has 576 divisors, whose sum is σ = 1784132659108800. Its totient is φ = 177481155870720.

The previous prime is 566349534185471. The next prime is 566349534185527. The reversal of 566349534185472 is 274581435943665.

566349534185472 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 4 + 9 + 534 + 1 + 85 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×566349534185472² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 566349534185472.

It is not an unprimeable number, because it can be changed into a prime (566349534185471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2614894848 + ... + 2615111424.

It is an arithmetic number, because the mean of its divisors is an integer number (3097452533175).

Almost surely, 2^{566349534185472} 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 566349534185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892066329554400).

566349534185472 is an abundant number, since it is smaller than the sum of its proper divisors (1217783124923328).

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

566349534185472 is a wasteful number, since it uses less digits than its factorization.

566349534185472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216777 (or 216732 counting only the distinct ones).

The product of its digits is 2612736000, while the sum is 72.

The spelling of 566349534185472 in words is "five hundred sixty-six trillion, three hundred forty-nine billion, five hundred thirty-four million, one hundred eighty-five thousand, four hundred seventy-two".