128806338816 has 81 divisors (see below), whose sum is σ = 371430105501. Its totient is φ = 42929703936.

The previous prime is 128806338809. The next prime is 128806338833. The reversal of 128806338816 is 618833608821.

The square root of 128806338816 is 358896.

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

128806338816 is a `hidden beast` number, since 128 + 80 + 63 + 388 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123285254400 + 5521084416 = 351120^2 + 74304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17223270 + ... + 17230746.

Almost surely, 2^128806338816 is an apocalyptic number.

128806338816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128806338816 is the 358896-th square number.

It is an amenable number.

128806338816 is an abundant number, since it is smaller than the sum of its proper divisors (242623766685).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128806338816 is an frugal number, since it uses more digits than its factorization.

128806338816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14976 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 128806338816 in words is "one hundred twenty-eight billion, eight hundred six million, three hundred thirty-eight thousand, eight hundred sixteen".