648338027691648 has 256 divisors, whose sum is σ = 1978719557806080. Its totient is φ = 184247529984000.

The previous prime is 648338027691631. The next prime is 648338027691659. The reversal of 648338027691648 is 846196720833846.

It is a super-2 number, since 2×648338027691648² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 648338027691648.

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, 919026733 + ... + 919731923.

It is an arithmetic number, because the mean of its divisors is an integer number (7729373272680).

Almost surely, 2^{648338027691648} 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 648338027691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989359778903040).

648338027691648 is an abundant number, since it is smaller than the sum of its proper divisors (1330381530114432).

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

648338027691648 is a wasteful number, since it uses less digits than its factorization.

648338027691648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707047 (or 707035 counting only the distinct ones).

The product of its (nonzero) digits is 2006581248, while the sum is 75.

The spelling of 648338027691648 in words is "six hundred forty-eight trillion, three hundred thirty-eight billion, twenty-seven million, six hundred ninety-one thousand, six hundred forty-eight".