3133169455104 has 520 divisors, whose sum is σ = 10184934147080. Its totient is φ = 953986056192.

The previous prime is 3133169455103. The next prime is 3133169455193. The reversal of 3133169455104 is 4015549613313.

3133169455104 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 1 + 6 + 94 + 551 + 0 + 4 = 666.

3133169455104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 93195878400 + 3039973576704 = 305280^2 + 1743552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3133169455104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133169455103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418365792 + ... + 418373280.

Almost surely, 2^{3133169455104} 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 3133169455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092467073540).

3133169455104 is an abundant number, since it is smaller than the sum of its proper divisors (7051764691976).

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

3133169455104 is an equidigital number, since it uses as much as digits as its factorization.

3133169455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7635 (or 7604 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 3133169455104 in words is "three trillion, one hundred thirty-three billion, one hundred sixty-nine million, four hundred fifty-five thousand, one hundred four".