648613000000 has 784 divisors, whose sum is σ = 1968474803200. Its totient is φ = 211680000000.

The previous prime is 648612999949. The next prime is 648613000001. The reversal of 648613000000 is 316846.

It is a tau number, because it is divible by the number of its divisors (784).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 648613000000 = 2625³ + 8575³ = 4050³ + 8350³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648613000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10632999970 + ... + 10633000030.

Almost surely, 2^648613000000 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 648613000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984237401600).

648613000000 is an abundant number, since it is smaller than the sum of its proper divisors (1319861803200).

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

648613000000 is an frugal number, since it uses more digits than its factorization.

648613000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 648613000000 its reverse (316846), we get a palindrome (648613316846).

The spelling of 648613000000 in words is "six hundred forty-eight billion, six hundred thirteen million", and thus it is an aban number.