331163503504020 has 288 divisors, whose sum is σ = 1131231665700864. Its totient is φ = 77690152569600.

The previous prime is 331163503503887. The next prime is 331163503504033. The reversal of 331163503504020 is 20405305361133.

331163503504020 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 63 + 503 + 50 + 40 + 2 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3632606959 + ... + 3632698121.

It is an arithmetic number, because the mean of its divisors is an integer number (3927887728128).

Almost surely, 2^{331163503504020} is an apocalyptic number.

331163503504020 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 331163503504020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565615832850432).

331163503504020 is an abundant number, since it is smaller than the sum of its proper divisors (800068162196844).

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

331163503504020 is a wasteful number, since it uses less digits than its factorization.

331163503504020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150403 (or 150398 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 331163503504020 its reverse (20405305361133), we get a palindrome (351568808865153).

The spelling of 331163503504020 in words is "three hundred thirty-one trillion, one hundred sixty-three billion, five hundred three million, five hundred four thousand, twenty".