128941319056 has 45 divisors (see below), whose sum is σ = 274633372209. Its totient is φ = 58602508800.

The previous prime is 128941319011. The next prime is 128941319077. The reversal of 128941319056 is 650913149821.

It is a happy number.

The square root of 128941319056 is 359084.

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., 47647904656 + 81293414400 = 218284^2 + 285120^2 .

It is a super-2 number, since 2×128941319056² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15795616 + ... + 15803776.

Almost surely, 2^128941319056 is an apocalyptic number.

128941319056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128941319056 is the 359084-th square number.

It is an amenable number.

128941319056 is an abundant number, since it is smaller than the sum of its proper divisors (145692053153).

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

128941319056 is an frugal number, since it uses more digits than its factorization.

128941319056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16352 (or 8174 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

Multiplying 128941319056 by its sum of digits (49), we get a square (6318124633744 = 2513588²).

The spelling of 128941319056 in words is "one hundred twenty-eight billion, nine hundred forty-one million, three hundred nineteen thousand, fifty-six".