128624801449 has 27 divisors (see below), whose sum is σ = 135748418533. Its totient is φ = 121869760544.

The previous prime is 128624801419. The next prime is 128624801471. The reversal of 128624801449 is 944108426821.

The square root of 128624801449 is 358643.

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 20594259049 + 108030542400 = 143507^2 + 328680^2 .

It is not a de Polignac number, because 128624801449 - 2⁷ = 128624801321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128624801419) 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, 863253627 + ... + 863253775.

Almost surely, 2^128624801449 is an apocalyptic number.

128624801449 is the 358643-rd square number.

128624801449 is the 179322-nd centered octagonal number.

It is an amenable number.

128624801449 is a deficient number, since it is larger than the sum of its proper divisors (7123617084).

128624801449 is an frugal number, since it uses more digits than its factorization.

128624801449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

Multiplying 128624801449 by its sum of digits (49), we get a square (6302615271001 = 2510501²).

The spelling of 128624801449 in words is "one hundred twenty-eight billion, six hundred twenty-four million, eight hundred one thousand, four hundred forty-nine".