39509483921649 has 27 divisors (see below), whose sum is σ = 66386905662987. Its totient is φ = 22576772527344.

The previous prime is 39509483921647. The next prime is 39509483921689. The reversal of 39509483921649 is 94612938490593.

The square root of 39509483921649 is 6285657.

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

39509483921649 is a `hidden beast` number, since 3 + 9 + 5 + 0 + 9 + 483 + 92 + 16 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32386285901025 + 7123198020624 = 5690895^2 + 2668932^2 .

It is not a de Polignac number, because 39509483921649 - 2¹ = 39509483921647 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39509483921647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 131849139 + ... + 132148455.

Almost surely, 2^{39509483921649} is an apocalyptic number.

39509483921649 is the 6285657-th square number.

39509483921649 is the 3142829-th centered octagonal number.

It is an amenable number.

39509483921649 is a deficient number, since it is larger than the sum of its proper divisors (26877421741338).

39509483921649 is an frugal number, since it uses more digits than its factorization.

39509483921649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598654 (or 299327 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 39509483921649 in words is "thirty-nine trillion, five hundred nine billion, four hundred eighty-three million, nine hundred twenty-one thousand, six hundred forty-nine".