128004447648 has 768 divisors, whose sum is σ = 456930754560. Its totient is φ = 30382387200.

The previous prime is 128004447619. The next prime is 128004447653. The reversal of 128004447648 is 846744400821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 128004447597 and 128004447606.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 574010865 + ... + 574011087.

It is an arithmetic number, because the mean of its divisors is an integer number (594961920).

Almost surely, 2^128004447648 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 128004447648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228465377280).

128004447648 is an abundant number, since it is smaller than the sum of its proper divisors (328926306912).

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

128004447648 is a wasteful number, since it uses less digits than its factorization.

128004447648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 128004447648 in words is "one hundred twenty-eight billion, four million, four hundred forty-seven thousand, six hundred forty-eight".