331948461312 has 360 divisors, whose sum is σ = 1122069416160. Its totient is φ = 96760811520.

The previous prime is 331948461307. The next prime is 331948461323. The reversal of 331948461312 is 213164849133.

331948461312 is a `hidden beast` number, since 3 + 3 + 19 + 4 + 8 + 4 + 613 + 12 = 666.

It is a super-3 number, since 3×331948461312³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5089387 + ... + 5154197.

Almost surely, 2^331948461312 is an apocalyptic number.

331948461312 is a gapful number since it is divisible by the number (32) 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 331948461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561034708080).

331948461312 is an abundant number, since it is smaller than the sum of its proper divisors (790120954848).

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

331948461312 is a wasteful number, since it uses less digits than its factorization.

331948461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64871 (or 64848 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 331948461312 in words is "three hundred thirty-one billion, nine hundred forty-eight million, four hundred sixty-one thousand, three hundred twelve".