331132940017248 has 192 divisors, whose sum is σ = 954776780697600. Its totient is φ = 100019464174080.

The previous prime is 331132940017223. The next prime is 331132940017277. The reversal of 331132940017248 is 842710049231133.

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 = 331132940017197 and 331132940017206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2646227643 + ... + 2646352773.

It is an arithmetic number, because the mean of its divisors is an integer number (4972795732800).

Almost surely, 2^{331132940017248} is an apocalyptic number.

331132940017248 is a gapful number since it is divisible by the number (38) 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 331132940017248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477388390348800).

331132940017248 is an abundant number, since it is smaller than the sum of its proper divisors (623643840680352).

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

331132940017248 is a wasteful number, since it uses less digits than its factorization.

331132940017248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188265 (or 188257 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 331132940017248 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, nine hundred forty million, seventeen thousand, two hundred forty-eight".