485385316416 has 1701 divisors, whose sum is σ = 1994999607783. Its totient is φ = 112363130880.

The previous prime is 485385316393. The next prime is 485385316433. The reversal of 485385316416 is 614613583584.

It is a happy number.

The square root of 485385316416 is 696696.

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

485385316416 is a `hidden beast` number, since 4 + 8 + 5 + 38 + 531 + 64 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62240270400 + 423145046016 = 249480^2 + 650496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 16737424690 + ... + 16737424718.

Almost surely, 2^485385316416 is an apocalyptic number.

485385316416 is the 696696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485385316416

485385316416 is an abundant number, since it is smaller than the sum of its proper divisors (1509614291367).

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

485385316416 is a wasteful number, since it uses less digits than its factorization.

485385316416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 65 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 485385316416 in words is "four hundred eighty-five billion, three hundred eighty-five million, three hundred sixteen thousand, four hundred sixteen".