1478133166225 has 9 divisors (see below), whose sum is σ = 1832892664017. Its totient is φ = 1182501669840.

The previous prime is 1478133166193. The next prime is 1478133166229. The reversal of 1478133166225 is 5226613318741.

The square root of 1478133166225 is 1215785.

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 2646793809 + 1475486372416 = 51447^2 + 1214696^2 .

It is not a de Polignac number, because 1478133166225 - 2⁵ = 1478133166193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1478133166229) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 5957347 + ... + 6200503.

Almost surely, 2^{1478133166225} is an apocalyptic number.

1478133166225 is the 1215785-th square number.

1478133166225 is the 607893-rd centered octagonal number.

It is an amenable number.

1478133166225 is a deficient number, since it is larger than the sum of its proper divisors (354759497792).

1478133166225 is an frugal number, since it uses more digits than its factorization.

1478133166225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486324 (or 243162 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

Multiplying 1478133166225 by its sum of digits (49), we get a square (72428525145025 = 8510495²).

The spelling of 1478133166225 in words is "one trillion, four hundred seventy-eight billion, one hundred thirty-three million, one hundred sixty-six thousand, two hundred twenty-five".