446864173441 has 81 divisors (see below), whose sum is σ = 559595018619. Its totient is φ = 355780567296.

The previous prime is 446864173439. The next prime is 446864173477. The reversal of 446864173441 is 144371468644.

The square root of 446864173441 is 668479.

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 158392060225 + 288472113216 = 397985^2 + 537096^2 .

It is not a de Polignac number, because 446864173441 - 2¹ = 446864173439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (446864173411) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5020945725 + ... + 5020945813.

Almost surely, 2^446864173441 is an apocalyptic number.

446864173441 is the 668479-th square number.

446864173441 is the 334240-th centered octagonal number.

It is an amenable number.

446864173441 is a deficient number, since it is larger than the sum of its proper divisors (112730845178).

446864173441 is an frugal number, since it uses more digits than its factorization.

446864173441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 162 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 52.

The spelling of 446864173441 in words is "four hundred forty-six billion, eight hundred sixty-four million, one hundred seventy-three thousand, four hundred forty-one".