331130985153408 has 768 divisors, whose sum is σ = 1120048419409920. Its totient is φ = 92852711424000.

The previous prime is 331130985153407. The next prime is 331130985153461. The reversal of 331130985153408 is 804351589031133.

331130985153408 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 3 + 0 + 9 + 85 + 153 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331130985153401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45907522410 + ... + 45907529622.

It is an arithmetic number, because the mean of its divisors is an integer number (1458396379440).

Almost surely, 2^{331130985153408} 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 331130985153408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560024209704960).

331130985153408 is an abundant number, since it is smaller than the sum of its proper divisors (788917434256512).

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

331130985153408 is a wasteful number, since it uses less digits than its factorization.

331130985153408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12379 (or 12364 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 331130985153408 in words is "three hundred thirty-one trillion, one hundred thirty billion, nine hundred eighty-five million, one hundred fifty-three thousand, four hundred eight".