45728633667025 has 9 divisors (see below), whose sum is σ = 56703547673371. Its totient is φ = 36582879884440.

The previous prime is 45728633666923. The next prime is 45728633667037. The reversal of 45728633667025 is 52076633682754.

It is a happy number.

The square root of 45728633667025 is 6762295.

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., 16462308120129 + 29266325546896 = 4057377^2 + 5409836^2 .

It is not a de Polignac number, because 45728633667025 - 2⁷ = 45728633666897 is a prime.

It is a super-2 number, since 2×45728633667025² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33135246 + ... + 34487704.

Almost surely, 2^{45728633667025} is an apocalyptic number.

45728633667025 is the 6762295-th square number.

45728633667025 is the 3381148-th centered octagonal number.

It is an amenable number.

45728633667025 is a deficient number, since it is larger than the sum of its proper divisors (10974914006346).

45728633667025 is an frugal number, since it uses more digits than its factorization.

45728633667025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704928 (or 1352464 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 64.

The spelling of 45728633667025 in words is "forty-five trillion, seven hundred twenty-eight billion, six hundred thirty-three million, six hundred sixty-seven thousand, twenty-five".