3113220660480 has 648 divisors, whose sum is σ = 12545474019624. Its totient is φ = 710715801600.

The previous prime is 3113220660439. The next prime is 3113220660481. The reversal of 3113220660480 is 840660223113.

3113220660480 is a `hidden beast` number, since 3 + 11 + 32 + 2 + 0 + 6 + 604 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 382636267776 + 2730584392704 = 618576^2 + 1652448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113220660481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 531172750 + ... + 531178610.

It is an arithmetic number, because the mean of its divisors is an integer number (19360299413).

Almost surely, 2^{3113220660480} is an apocalyptic number.

3113220660480 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 3113220660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272737009812).

3113220660480 is an abundant number, since it is smaller than the sum of its proper divisors (9432253359144).

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

3113220660480 is a wasteful number, since it uses less digits than its factorization.

3113220660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6843 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 3113220660480 its reverse (840660223113), we get a palindrome (3953880883593).

The spelling of 3113220660480 in words is "three trillion, one hundred thirteen billion, two hundred twenty million, six hundred sixty thousand, four hundred eighty".