643954424459346 has 144 divisors (see below), whose sum is σ = 1887513795690432. Its totient is φ = 154394667155520.

The previous prime is 643954424459257. The next prime is 643954424459363.

643954424459346 is a `hidden beast` number, since 6 + 4 + 3 + 9 + 5 + 4 + 4 + 24 + 4 + 593 + 4 + 6 = 666.

643954424459346 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1624324816 + ... + 1624721211.

Almost surely, 2^{643954424459346} is an apocalyptic number.

643954424459346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

643954424459346 is an abundant number, since it is smaller than the sum of its proper divisors (1243559371231086).

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

643954424459346 is a wasteful number, since it uses less digits than its factorization.

643954424459346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249046077 (or 3249046063 counting only the distinct ones).

The product of its digits is 5374771200, while the sum is 72.

The spelling of 643954424459346 in words is "six hundred forty-three trillion, nine hundred fifty-four billion, four hundred twenty-four million, four hundred fifty-nine thousand, three hundred forty-six".