3133069922304 has 585 divisors, whose sum is σ = 10912307536647. Its totient is φ = 893123739648.

The previous prime is 3133069922267. The next prime is 3133069922309. The reversal of 3133069922304 is 4032299603313.

The square root of 3133069922304 is 1770048.

It is a perfect power (a square), and thus also a powerful number.

3133069922304 is a `hidden beast` number, since 3 + 1 + 330 + 6 + 9 + 9 + 2 + 2 + 304 = 666.

It is a super-2 number, since 2×3133069922304² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3133069922304.

It is not an unprimeable number, because it can be changed into a prime (3133069922309) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7136833317 + ... + 7136833755.

Almost surely, 2^{3133069922304} is an apocalyptic number.

3133069922304 is the 1770048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133069922304

3133069922304 is an abundant number, since it is smaller than the sum of its proper divisors (7779237614343).

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

3133069922304 is an frugal number, since it uses more digits than its factorization.

3133069922304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 3133069922304 in words is "three trillion, one hundred thirty-three billion, sixty-nine million, nine hundred twenty-two thousand, three hundred four".