331204445000000 has 896 divisors, whose sum is σ = 976969605201408. Its totient is φ = 109814400000000.

The previous prime is 331204444999951. The next prime is 331204445000057. The reversal of 331204445000000 is 544402133.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 59344997210 + ... + 59345002790.

It is an arithmetic number, because the mean of its divisors is an integer number (1090367862948).

Almost surely, 2^{331204445000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331204445000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488484802600704).

331204445000000 is an abundant number, since it is smaller than the sum of its proper divisors (645765160201408).

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

331204445000000 is an frugal number, since it uses more digits than its factorization.

331204445000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 331204445000000 its reverse (544402133), we get a palindrome (331204989402133).

The spelling of 331204445000000 in words is "three hundred thirty-one trillion, two hundred four billion, four hundred forty-five million", and thus it is an aban number.