648696202128 has 240 divisors, whose sum is σ = 2042117837760. Its totient is φ = 198160722432.

The previous prime is 648696202081. The next prime is 648696202139. The reversal of 648696202128 is 821202696846.

648696202128 is a `hidden beast` number, since 6 + 4 + 8 + 6 + 9 + 620 + 2 + 1 + 2 + 8 = 666.

648696202128 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6979450 + ... + 7071782.

It is an arithmetic number, because the mean of its divisors is an integer number (8508824324).

Almost surely, 2^648696202128 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 648696202128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021058918880).

648696202128 is an abundant number, since it is smaller than the sum of its proper divisors (1393421635632).

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

648696202128 is a wasteful number, since it uses less digits than its factorization.

648696202128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92508 (or 92490 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 648696202128 in words is "six hundred forty-eight billion, six hundred ninety-six million, two hundred two thousand, one hundred twenty-eight".