5148011564256 has 192 divisors, whose sum is σ = 14867969679360. Its totient is φ = 1546693263360.

The previous prime is 5148011564243. The next prime is 5148011564281. The reversal of 5148011564256 is 6524651108415.

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

It is a congruent number.

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, 215774280 + ... + 215798136.

It is an arithmetic number, because the mean of its divisors is an integer number (77437342080).

Almost surely, 2^{5148011564256} 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 5148011564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433984839680).

5148011564256 is an abundant number, since it is smaller than the sum of its proper divisors (9719958115104).

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

5148011564256 is a wasteful number, since it uses less digits than its factorization.

5148011564256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25617 (or 25609 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 5148011564256 in words is "five trillion, one hundred forty-eight billion, eleven million, five hundred sixty-four thousand, two hundred fifty-six".