477714586561 has 27 divisors (see below), whose sum is σ = 513543605211. Its totient is φ = 444294491904.

The previous prime is 477714586553. The next prime is 477714586631. The reversal of 477714586561 is 165685417774.

It is a happy number.

The square root of 477714586561 is 691169.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 27849268161 + 449865318400 = 166881^2 + 670720^2 .

It is not a de Polignac number, because 477714586561 - 2³ = 477714586553 is a prime.

It is a super-2 number, since 2×477714586561² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 477714586561.

It is not an unprimeable number, because it can be changed into a prime (477714586511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1280735971 + ... + 1280736343.

Almost surely, 2^477714586561 is an apocalyptic number.

477714586561 is the 691169-th square number.

477714586561 is the 345585-th centered octagonal number.

It is an amenable number.

477714586561 is a deficient number, since it is larger than the sum of its proper divisors (35829018650).

477714586561 is an frugal number, since it uses more digits than its factorization.

477714586561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 61.

The spelling of 477714586561 in words is "four hundred seventy-seven billion, seven hundred fourteen million, five hundred eighty-six thousand, five hundred sixty-one".