331648640672 has 48 divisors (see below), whose sum is σ = 661990853160. Its totient is φ = 163524759552.

The previous prime is 331648640651. The next prime is 331648640689. The reversal of 331648640672 is 276046846133.

It can be written as a sum of positive squares in 4 ways, for example, as 280895760016 + 50752880656 = 529996^2 + 225284^2 .

It is a super-3 number, since 3×331648640672³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 331648640672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22813118 + ... + 22827650.

Almost surely, 2^331648640672 is an apocalyptic number.

331648640672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331648640672 is a deficient number, since it is larger than the sum of its proper divisors (330342212488).

331648640672 is a wasteful number, since it uses less digits than its factorization.

331648640672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24385 (or 24377 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 50.

The spelling of 331648640672 in words is "three hundred thirty-one billion, six hundred forty-eight million, six hundred forty thousand, six hundred seventy-two".