331243249680 has 960 divisors, whose sum is σ = 1383436454400. Its totient is φ = 70750568448.

The previous prime is 331243249619. The next prime is 331243249709. The reversal of 331243249680 is 86942342133.

331243249680 is a `hidden beast` number, since 3 + 3 + 124 + 32 + 496 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1078968087 + ... + 1078968393.

It is an arithmetic number, because the mean of its divisors is an integer number (1441079640).

Almost surely, 2^331243249680 is an apocalyptic number.

331243249680 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 331243249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691718227200).

331243249680 is an abundant number, since it is smaller than the sum of its proper divisors (1052193204720).

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

331243249680 is a wasteful number, since it uses less digits than its factorization.

331243249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 331243249680 in words is "three hundred thirty-one billion, two hundred forty-three million, two hundred forty-nine thousand, six hundred eighty".