564477774465 has 32 divisors (see below), whose sum is σ = 985514322816. Its totient is φ = 273618408960.

The previous prime is 564477774449. The next prime is 564477774499.

564477774465 is nontrivially palindromic in base 10.

564477774465 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 564477774465 - 2⁴ = 564477774449 is a prime.

It is a super-3 number, since 3×564477774465³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 564477774396 and 564477774405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247779 + ... + 1091031.

It is an arithmetic number, because the mean of its divisors is an integer number (30797322588).

Almost surely, 2^564477774465 is an apocalyptic number.

564477774465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564477774465 is a deficient number, since it is larger than the sum of its proper divisors (421036548351).

564477774465 is a wasteful number, since it uses less digits than its factorization.

564477774465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847329.

The product of its digits is 553190400, while the sum is 66.

The spelling of 564477774465 in words is "five hundred sixty-four billion, four hundred seventy-seven million, seven hundred seventy-four thousand, four hundred sixty-five".