3013257321648 has 320 divisors, whose sum is σ = 9919365120000. Its totient is φ = 857922658560.

The previous prime is 3013257321623. The next prime is 3013257321667. The reversal of 3013257321648 is 8461237523103.

3013257321648 is a `hidden beast` number, since 3 + 0 + 1 + 32 + 573 + 2 + 1 + 6 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1507381353 + ... + 1507383351.

It is an arithmetic number, because the mean of its divisors is an integer number (30998016000).

Almost surely, 2^{3013257321648} 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 3013257321648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959682560000).

3013257321648 is an abundant number, since it is smaller than the sum of its proper divisors (6906107798352).

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

3013257321648 is a wasteful number, since it uses less digits than its factorization.

3013257321648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3013257321648 in words is "three trillion, thirteen billion, two hundred fifty-seven million, three hundred twenty-one thousand, six hundred forty-eight".