128717347984 has 45 divisors (see below), whose sum is σ = 251083457067. Its totient is φ = 63924559872.

The previous prime is 128717347937. The next prime is 128717348041. The reversal of 128717347984 is 489743717821.

The square root of 128717347984 is 358772.

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

It can be written as a sum of positive squares in 4 ways, for example, as 79490163600 + 49227184384 = 281940^2 + 221872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 368817442 + ... + 368817790.

Almost surely, 2^128717347984 is an apocalyptic number.

128717347984 is the 358772-nd square number.

It is an amenable number.

128717347984 is a deficient number, since it is larger than the sum of its proper divisors (122366109083).

128717347984 is an frugal number, since it uses more digits than its factorization.

128717347984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 608 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 61.

The spelling of 128717347984 in words is "one hundred twenty-eight billion, seven hundred seventeen million, three hundred forty-seven thousand, nine hundred eighty-four".