649085323580946 has 72 divisors (see below), whose sum is σ = 1692372360283020. Its totient is φ = 179058020291136.

The previous prime is 649085323580809. The next prime is 649085323580971.

649085323580946 is a `hidden beast` number, since 6 + 4 + 9 + 0 + 8 + 5 + 32 + 3 + 580 + 9 + 4 + 6 = 666.

649085323580946 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 580933446758721 + 68151876822225 = 24102561^2 + 8255415^2 .

It is a super-2 number, since 2×649085323580946² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12688326201 + ... + 12688377356.

Almost surely, 2^{649085323580946} is an apocalyptic number.

649085323580946 is an abundant number, since it is smaller than the sum of its proper divisors (1043287036702074).

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

649085323580946 is a wasteful number, since it uses less digits than its factorization.

649085323580946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25376703608 (or 25376703598 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 72.

The spelling of 649085323580946 in words is "six hundred forty-nine trillion, eighty-five billion, three hundred twenty-three million, five hundred eighty thousand, nine hundred forty-six".