648927729846 has 96 divisors (see below), whose sum is σ = 1582711262496. Its totient is φ = 190447872000.

The previous prime is 648927729803. The next prime is 648927729881.

648927729846 is a `hidden beast` number, since 64 + 8 + 9 + 277 + 298 + 4 + 6 = 666.

648927729846 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×648927729846² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 820426 + ... + 1403906.

It is an arithmetic number, because the mean of its divisors is an integer number (16486575651).

Almost surely, 2^648927729846 is an apocalyptic number.

648927729846 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 648927729846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791355631248).

648927729846 is an abundant number, since it is smaller than the sum of its proper divisors (933783532650).

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

648927729846 is a wasteful number, since it uses less digits than its factorization.

648927729846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583678 (or 583675 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 648927729846 in words is "six hundred forty-eight billion, nine hundred twenty-seven million, seven hundred twenty-nine thousand, eight hundred forty-six".