382672146025 has 81 divisors (see below), whose sum is σ = 532666907973. Its totient is φ = 272582107200.

The previous prime is 382672146011. The next prime is 382672146049. The reversal of 382672146025 is 520641276283.

The square root of 382672146025 is 618605.

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

It can be written as a sum of positive squares in 4 ways, for example, as 98634311721 + 284037834304 = 314061^2 + 532952^2 .

It is not a de Polignac number, because 382672146025 - 2¹⁷ = 382672014953 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1246488922 + ... + 1246489228.

Almost surely, 2^382672146025 is an apocalyptic number.

382672146025 is the 618605-th square number.

382672146025 is the 309303-rd centered octagonal number.

It is an amenable number.

382672146025 is a deficient number, since it is larger than the sum of its proper divisors (149994761948).

382672146025 is an equidigital number, since it uses as much as digits as its factorization.

382672146025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 382672146025 in words is "three hundred eighty-two billion, six hundred seventy-two million, one hundred forty-six thousand, twenty-five".