565227363838464 has 400 divisors, whose sum is σ = 1732182056190432. Its totient is φ = 183399264018432.

The previous prime is 565227363838457. The next prime is 565227363838469. The reversal of 565227363838464 is 464838363722565.

565227363838464 is a `hidden beast` number, since 5 + 6 + 5 + 2 + 2 + 73 + 63 + 8 + 38 + 464 = 666.

It is a super-2 number, since 2×565227363838464² (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 junction number, because it is equal to n+sod(n) for n = 565227363838392 and 565227363838401.

It is not an unprimeable number, because it can be changed into a prime (565227363838469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 521964847 + ... + 523046609.

Almost surely, 2^{565227363838464} is an apocalyptic number.

565227363838464 is a gapful number since it is divisible by the number (54) 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 565227363838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866091028095216).

565227363838464 is an abundant number, since it is smaller than the sum of its proper divisors (1166954692351968).

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

565227363838464 is a wasteful number, since it uses less digits than its factorization.

565227363838464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082129 (or 1082104 counting only the distinct ones).

The product of its digits is 4180377600, while the sum is 72.

The spelling of 565227363838464 in words is "five hundred sixty-five trillion, two hundred twenty-seven billion, three hundred sixty-three million, eight hundred thirty-eight thousand, four hundred sixty-four".