648966654820000 has 1920 divisors, whose sum is σ = 1878478425686016. Its totient is φ = 218453760000000.

The previous prime is 648966654819997. The next prime is 648966654820007. The reversal of 648966654820000 is 28456669846.

It is a super-2 number, since 2×648966654820000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (648966654820007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3751252339914 + ... + 3751252340086.

Almost surely, 2^{648966654820000} 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 648966654820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939239212843008).

648966654820000 is an abundant number, since it is smaller than the sum of its proper divisors (1229511770866016).

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

648966654820000 is a wasteful number, since it uses less digits than its factorization.

648966654820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 64.

The spelling of 648966654820000 in words is "six hundred forty-eight trillion, nine hundred sixty-six billion, six hundred fifty-four million, eight hundred twenty thousand".