128089546816 has 315 divisors, whose sum is σ = 329904421343. Its totient is φ = 49303752960.

The previous prime is 128089546789. The next prime is 128089546831. The reversal of 128089546816 is 618645980821.

It is a happy number.

The square root of 128089546816 is 357896.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1543247511 + ... + 1543247593.

Almost surely, 2^128089546816 is an apocalyptic number.

128089546816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128089546816 is the 357896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128089546816

128089546816 is an abundant number, since it is smaller than the sum of its proper divisors (201814874527).

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

128089546816 is an frugal number, since it uses more digits than its factorization.

128089546816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 58.

The spelling of 128089546816 in words is "one hundred twenty-eight billion, eighty-nine million, five hundred forty-six thousand, eight hundred sixteen".