38943777845025 has 81 divisors (see below), whose sum is σ = 70495582280331. Its totient is φ = 20551098286080.

The previous prime is 38943777844991. The next prime is 38943777845033. The reversal of 38943777845025 is 52054877734983.

The square root of 38943777845025 is 6240495.

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

38943777845025 is a `hidden beast` number, since 3 + 8 + 9 + 4 + 37 + 7 + 7 + 84 + 502 + 5 = 666.

38943777845025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 7001522389521 + 31942255455504 = 2646039^2 + 5651748^2 .

It is not a de Polignac number, because 38943777845025 - 2²⁵ = 38943744290593 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9079918081 + ... + 9079922369.

Almost surely, 2^{38943777845025} is an apocalyptic number.

38943777845025 is the 6240495-th square number.

38943777845025 is the 3120248-th centered octagonal number.

It is an amenable number.

38943777845025 is a deficient number, since it is larger than the sum of its proper divisors (31551804435306).

38943777845025 is an frugal number, since it uses more digits than its factorization.

38943777845025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8788 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 38943777845025 in words is "thirty-eight trillion, nine hundred forty-three billion, seven hundred seventy-seven million, eight hundred forty-five thousand, twenty-five".