331362146634420 has 384 divisors, whose sum is σ = 1019442623270400. Its totient is φ = 79755016929280.

The previous prime is 331362146634401. The next prime is 331362146634511. The reversal of 331362146634420 is 24436641263133.

It is a self number, because there is not a number n which added to its sum of digits gives 331362146634420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57960841402 + ... + 57960847118.

It is an arithmetic number, because the mean of its divisors is an integer number (2654798498100).

Almost surely, 2^{331362146634420} is an apocalyptic number.

331362146634420 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 331362146634420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509721311635200).

331362146634420 is an abundant number, since it is smaller than the sum of its proper divisors (688080476635980).

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

331362146634420 is a wasteful number, since it uses less digits than its factorization.

331362146634420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 48.

Adding to 331362146634420 its reverse (24436641263133), we get a palindrome (355798787897553).

The spelling of 331362146634420 in words is "three hundred thirty-one trillion, three hundred sixty-two billion, one hundred forty-six million, six hundred thirty-four thousand, four hundred twenty".