646431556302441 has 120 divisors (see below), whose sum is σ = 1210158158964480. Its totient is φ = 336658745090304.

The previous prime is 646431556302437. The next prime is 646431556302443. The reversal of 646431556302441 is 144203655134646.

646431556302441 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 3 + 15 + 563 + 0 + 24 + 41 = 666.

It is not a de Polignac number, because 646431556302441 - 2² = 646431556302437 is a prime.

It is a super-3 number, since 3×646431556302441³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (646431556302443) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35126820 + ... + 50266853.

It is an arithmetic number, because the mean of its divisors is an integer number (10084651324704).

Almost surely, 2^{646431556302441} is an apocalyptic number.

It is an amenable number.

646431556302441 is a deficient number, since it is larger than the sum of its proper divisors (563726602662039).

646431556302441 is a wasteful number, since it uses less digits than its factorization.

646431556302441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85393797 (or 85393775 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 646431556302441 in words is "six hundred forty-six trillion, four hundred thirty-one billion, five hundred fifty-six million, three hundred two thousand, four hundred forty-one".