128338199649063 has 64 divisors (see below), whose sum is σ = 192694956480000. Its totient is φ = 84413679614208.

The previous prime is 128338199649061. The next prime is 128338199649109. The reversal of 128338199649063 is 360946991833821.

128338199649063 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 38 + 19 + 96 + 490 + 6 + 3 = 666.

It is not a de Polignac number, because 128338199649063 - 2¹ = 128338199649061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 128338199648982 and 128338199649000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128338199649061) 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 63 ways as a sum of consecutive naturals, for example, 635762395 + ... + 635964227.

It is an arithmetic number, because the mean of its divisors is an integer number (3010858695000).

Almost surely, 2^{128338199649063} is an apocalyptic number.

128338199649063 is a deficient number, since it is larger than the sum of its proper divisors (64356756830937).

128338199649063 is a wasteful number, since it uses less digits than its factorization.

128338199649063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203053 (or 203047 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 128338199649063 in words is "one hundred twenty-eight trillion, three hundred thirty-eight billion, one hundred ninety-nine million, six hundred forty-nine thousand, sixty-three".