642581185246 has 192 divisors, whose sum is σ = 1361731378176. Its totient is φ = 220416768000.

The previous prime is 642581185243. The next prime is 642581185313.

642581185246 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 642581185193 and 642581185202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642581185241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240036460 + ... + 240039136.

It is an arithmetic number, because the mean of its divisors is an integer number (7092350928).

Almost surely, 2^642581185246 is an apocalyptic number.

642581185246 is an abundant number, since it is smaller than the sum of its proper divisors (719150192930).

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

642581185246 is a wasteful number, since it uses less digits than its factorization.

642581185246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3134 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 52.

The spelling of 642581185246 in words is "six hundred forty-two billion, five hundred eighty-one million, one hundred eighty-five thousand, two hundred forty-six".