3128316552648 has 960 divisors, whose sum is σ = 11256089391360. Its totient is φ = 805844422656.

The previous prime is 3128316552637. The next prime is 3128316552661. The reversal of 3128316552648 is 8462556138213.

3128316552648 is a `hidden beast` number, since 3 + 1 + 2 + 83 + 1 + 6 + 552 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3128316552594 and 3128316552603.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1230166465 + ... + 1230169007.

It is an arithmetic number, because the mean of its divisors is an integer number (11725093116).

Almost surely, 2^{3128316552648} 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 3128316552648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628044695680).

3128316552648 is an abundant number, since it is smaller than the sum of its proper divisors (8127772838712).

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

3128316552648 is a wasteful number, since it uses less digits than its factorization.

3128316552648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2668 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 3128316552648 in words is "three trillion, one hundred twenty-eight billion, three hundred sixteen million, five hundred fifty-two thousand, six hundred forty-eight".