331255111680 has 672 divisors, whose sum is σ = 1243442962944. Its totient is φ = 84435664896.

The previous prime is 331255111679. The next prime is 331255111717. The reversal of 331255111680 is 86111552133.

It is a happy number.

331255111680 is a `hidden beast` number, since 3 + 3 + 12 + 551 + 1 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228924717 + ... + 228926163.

It is an arithmetic number, because the mean of its divisors is an integer number (1850361552).

Almost surely, 2^331255111680 is an apocalyptic number.

331255111680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331255111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621721481472).

331255111680 is an abundant number, since it is smaller than the sum of its proper divisors (912187851264).

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

331255111680 is an equidigital number, since it uses as much as digits as its factorization.

331255111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 331255111680 in words is "three hundred thirty-one billion, two hundred fifty-five million, one hundred eleven thousand, six hundred eighty".