128325697344 has 504 divisors, whose sum is σ = 433796617800. Its totient is φ = 35929128960.

The previous prime is 128325697343. The next prime is 128325697391. The reversal of 128325697344 is 443796523821.

128325697344 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 2 + 569 + 73 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38872065600 + 89453631744 = 197160^2 + 299088^2 .

It is a super-3 number, since 3×128325697344³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128325697343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122330932 + ... + 122331980.

It is an arithmetic number, because the mean of its divisors is an integer number (860707575).

Almost surely, 2^128325697344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128325697344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216898308900).

128325697344 is an abundant number, since it is smaller than the sum of its proper divisors (305470920456).

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

128325697344 is a wasteful number, since it uses less digits than its factorization.

128325697344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1115 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 128325697344 in words is "one hundred twenty-eight billion, three hundred twenty-five million, six hundred ninety-seven thousand, three hundred forty-four".