564743545347465 has 288 divisors, whose sum is σ = 1119523267463328. Its totient is φ = 262941769728000.

The previous prime is 564743545347451. The next prime is 564743545347587.

It is a happy number.

564743545347465 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 4 + 3 + 545 + 3 + 4 + 74 + 6 + 5 = 666.

564743545347465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 2718472190841 + 562025073156624 = 1648779^2 + 23707068^2 .

It is not a de Polignac number, because 564743545347465 - 2⁸ = 564743545347209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 564743545347393 and 564743545347402.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6450261129 + ... + 6450348681.

It is an arithmetic number, because the mean of its divisors is an integer number (3887233567581).

Almost surely, 2^{564743545347465} is an apocalyptic number.

564743545347465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564743545347465 is a deficient number, since it is larger than the sum of its proper divisors (554779722115863).

564743545347465 is a wasteful number, since it uses less digits than its factorization.

564743545347465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88041 (or 88027 counting only the distinct ones).

The product of its digits is 10160640000, while the sum is 72.

The spelling of 564743545347465 in words is "five hundred sixty-four trillion, seven hundred forty-three billion, five hundred forty-five million, three hundred forty-seven thousand, four hundred sixty-five".