3001256848128 has 288 divisors, whose sum is σ = 9961566451200. Its totient is φ = 779324129280.

The previous prime is 3001256848069. The next prime is 3001256848133. The reversal of 3001256848128 is 8218486521003.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345882126 + ... + 345890802.

It is an arithmetic number, because the mean of its divisors is an integer number (34588772400).

Almost surely, 2^{3001256848128} 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 3001256848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980783225600).

3001256848128 is an abundant number, since it is smaller than the sum of its proper divisors (6960309603072).

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

3001256848128 is a wasteful number, since it uses less digits than its factorization.

3001256848128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14563 (or 14549 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 3001256848128 in words is "three trillion, one billion, two hundred fifty-six million, eight hundred forty-eight thousand, one hundred twenty-eight".