128125338916 has 9 divisors (see below), whose sum is σ = 224220595921. Its totient is φ = 64062311512.

The previous prime is 128125338899. The next prime is 128125338923. The reversal of 128125338916 is 619833521821.

The square root of 128125338916 is 357946.

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., 15299216100 + 112826122816 = 123690^2 + 335896^2 .

It is a super-2 number, since 2×128125338916² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 128125338916.

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 2 ways as a sum of consecutive naturals, for example, 626406 + ... + 805378.

Almost surely, 2^128125338916 is an apocalyptic number.

128125338916 is the 357946-th square number.

It is an amenable number.

128125338916 is a deficient number, since it is larger than the sum of its proper divisors (96095257005).

128125338916 is an frugal number, since it uses more digits than its factorization.

128125338916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357950 (or 178975 counting only the distinct ones).

The product of its digits is 622080, while the sum is 49.

Multiplying 128125338916 by its sum of digits (49), we get a square (6278141606884 = 2505622²).

The spelling of 128125338916 in words is "one hundred twenty-eight billion, one hundred twenty-five million, three hundred thirty-eight thousand, nine hundred sixteen".