648742727247846 has 48 divisors (see below), whose sum is σ = 1646530706640960. Its totient is φ = 168504604479120.

The previous prime is 648742727247817. The next prime is 648742727247907.

648742727247846 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100300356576 + ... + 100300363043.

It is an arithmetic number, because the mean of its divisors is an integer number (34302723055020).

Almost surely, 2^{648742727247846} is an apocalyptic number.

648742727247846 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

648742727247846 is an abundant number, since it is smaller than the sum of its proper divisors (997787979393114).

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

648742727247846 is a wasteful number, since it uses less digits than its factorization.

648742727247846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200600719649 (or 200600719642 counting only the distinct ones).

The product of its digits is 11329339392, while the sum is 78.

The spelling of 648742727247846 in words is "six hundred forty-eight trillion, seven hundred forty-two billion, seven hundred twenty-seven million, two hundred forty-seven thousand, eight hundred forty-six".