436864316840864 has 48 divisors (see below), whose sum is σ = 970619387361120. Its totient is φ = 191727286383360.

The previous prime is 436864316840789. The next prime is 436864316840869. The reversal of 436864316840864 is 468048613468634.

It is not an unprimeable number, because it can be changed into a prime (436864316840869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21398124434 + ... + 21398144849.

It is an arithmetic number, because the mean of its divisors is an integer number (20221237236690).

Almost surely, 2^{436864316840864} is an apocalyptic number.

436864316840864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

436864316840864 is an abundant number, since it is smaller than the sum of its proper divisors (533755070520256).

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

436864316840864 is a wasteful number, since it uses less digits than its factorization.

436864316840864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42796269333 (or 42796269325 counting only the distinct ones).

The product of its (nonzero) digits is 1528823808, while the sum is 71.

The spelling of 436864316840864 in words is "four hundred thirty-six trillion, eight hundred sixty-four billion, three hundred sixteen million, eight hundred forty thousand, eight hundred sixty-four".