385463414449 has 27 divisors (see below), whose sum is σ = 417203335947. Its totient is φ = 356063972928.

The previous prime is 385463414429. The next prime is 385463414513. The reversal of 385463414449 is 944414364583.

The square root of 385463414449 is 620857.

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

It can be written as a sum of positive squares in only one way, i.e., 300101274225 + 85362140224 = 547815^2 + 292168^2 .

It is not a de Polignac number, because 385463414449 - 2⁷ = 385463414321 is a prime.

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 385463414449.

It is not an unprimeable number, because it can be changed into a prime (385463414429) 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, 622719262 + ... + 622719880.

Almost surely, 2^385463414449 is an apocalyptic number.

385463414449 is the 620857-th square number.

385463414449 is the 310429-th centered octagonal number.

It is an amenable number.

385463414449 is a deficient number, since it is larger than the sum of its proper divisors (31739921498).

385463414449 is an frugal number, since it uses more digits than its factorization.

385463414449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 695 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 55.

The spelling of 385463414449 in words is "three hundred eighty-five billion, four hundred sixty-three million, four hundred fourteen thousand, four hundred forty-nine".