446778612225 has 81 divisors (see below), whose sum is σ = 879808986147. Its totient is φ = 216566460000.

The previous prime is 446778612197. The next prime is 446778612253. The reversal of 446778612225 is 522216877644.

The square root of 446778612225 is 668415.

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

446778612225 is a `hidden beast` number, since 446 + 7 + 78 + 6 + 122 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (446778612197) and next prime (446778612253).

It can be written as a sum of positive squares in only one way, i.e., 160840300401 + 285938311824 = 401049^2 + 534732^2 .

It is not a de Polignac number, because 446778612225 - 2⁷ = 446778612097 is a prime.

It is a super-2 number, since 2×446778612225² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 110286450 + ... + 110290500.

Almost surely, 2^446778612225 is an apocalyptic number.

446778612225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

446778612225 is the 668415-th square number.

446778612225 is the 334208-th centered octagonal number.

It is an amenable number.

446778612225 is a deficient number, since it is larger than the sum of its proper divisors (433030373922).

446778612225 is an equidigital number, since it uses as much as digits as its factorization.

446778612225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8140 (or 4070 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 446778612225 in words is "four hundred forty-six billion, seven hundred seventy-eight million, six hundred twelve thousand, two hundred twenty-five".