39128064989049 has 45 divisors (see below), whose sum is σ = 58591094880351. Its totient is φ = 26022811718880.

The previous prime is 39128064989029. The next prime is 39128064989081. The reversal of 39128064989049 is 94098946082193.

The square root of 39128064989049 is 6255243.

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

39128064989049 is a `hidden beast` number, since 3 + 9 + 1 + 2 + 8 + 0 + 6 + 498 + 90 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36260569805625 + 2867495183424 = 6021675^2 + 1693368^2 .

It is not a de Polignac number, because 39128064989049 - 2⁴³ = 30331971966841 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (39128064989009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 45657018229 + ... + 45657019085.

Almost surely, 2^{39128064989049} is an apocalyptic number.

39128064989049 is the 6255243-rd square number.

39128064989049 is the 3127622-nd centered octagonal number.

It is an amenable number.

39128064989049 is a deficient number, since it is larger than the sum of its proper divisors (19463029891302).

39128064989049 is an frugal number, since it uses more digits than its factorization.

39128064989049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 39128064989049 in words is "thirty-nine trillion, one hundred twenty-eight billion, sixty-four million, nine hundred eighty-nine thousand, forty-nine".