331205727648 has 48 divisors (see below), whose sum is σ = 870073517376. Its totient is φ = 110318292480.

The previous prime is 331205727631. The next prime is 331205727683. The reversal of 331205727648 is 846727502133.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×331205727648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 331205727597 and 331205727606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1179036 + ... + 1432667.

It is an arithmetic number, because the mean of its divisors is an integer number (18126531612).

Almost surely, 2^331205727648 is an apocalyptic number.

It is an amenable number.

331205727648 is an abundant number, since it is smaller than the sum of its proper divisors (538867789728).

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

331205727648 is a wasteful number, since it uses less digits than its factorization.

331205727648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613037 (or 2613029 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 331205727648 in words is "three hundred thirty-one billion, two hundred five million, seven hundred twenty-seven thousand, six hundred forty-eight".