128411952768 has 288 divisors, whose sum is σ = 416090247300. Its totient is φ = 37961932800.

The previous prime is 128411952737. The next prime is 128411952791. The reversal of 128411952768 is 867259114821.

128411952768 is a `hidden beast` number, since 1 + 2 + 8 + 41 + 19 + 527 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125707120704 + 2704832064 = 354552^2 + 52008^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×128411952768² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5703838 + ... + 5726306.

Almost surely, 2^128411952768 is an apocalyptic number.

128411952768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128411952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208045123650).

128411952768 is an abundant number, since it is smaller than the sum of its proper divisors (287678294532).

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

128411952768 is a wasteful number, since it uses less digits than its factorization.

128411952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22552 (or 22526 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 128411952768 in words is "one hundred twenty-eight billion, four hundred eleven million, nine hundred fifty-two thousand, seven hundred sixty-eight".