128385736932049 has 9 divisors (see below), whose sum is σ = 134210693080219. Its totient is φ = 122803499093440.

The previous prime is 128385736932029. The next prime is 128385736932097. The reversal of 128385736932049 is 940239637583821.

The square root of 128385736932049 is 11330743.

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., 40343546645649 + 88042190286400 = 6351657^2 + 9383080^2 .

It is a de Polignac number, because none of the positive numbers 2^k-128385736932049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128385736932029) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 260360769 + ... + 260853409.

It is a 3-persistent number, because k⋅128385736932049 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{128385736932049} is an apocalyptic number.

128385736932049 is the 11330743-rd square number.

128385736932049 is the 5665372-nd centered octagonal number.

It is an amenable number.

128385736932049 is a deficient number, since it is larger than the sum of its proper divisors (5824956148170).

128385736932049 is an frugal number, since it uses more digits than its factorization.

128385736932049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985328 (or 492664 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 70.

The spelling of 128385736932049 in words is "one hundred twenty-eight trillion, three hundred eighty-five billion, seven hundred thirty-six million, nine hundred thirty-two thousand, forty-nine".