2133171249444 has 567 divisors, whose sum is σ = 6256065525507. Its totient is φ = 636000035328.

The previous prime is 2133171249431. The next prime is 2133171249479. The reversal of 2133171249444 is 4449421713312.

The square root of 2133171249444 is 1460538.

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

2133171249444 is a `hidden beast` number, since 2 + 1 + 33 + 171 + 2 + 4 + 9 + 444 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 992290915044 + 1140880334400 = 996138^2 + 1068120^2 .

Its product of digits (580608) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 2133171249444.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 49608633687 + ... + 49608633729.

Almost surely, 2^{2133171249444} is an apocalyptic number.

2133171249444 is the 1460538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133171249444

2133171249444 is an abundant number, since it is smaller than the sum of its proper divisors (4122894276063).

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

2133171249444 is an equidigital number, since it uses as much as digits as its factorization.

2133171249444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 102 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 2133171249444 in words is "two trillion, one hundred thirty-three billion, one hundred seventy-one million, two hundred forty-nine thousand, four hundred forty-four".