273429322144 has 144 divisors (see below), whose sum is σ = 614221187328. Its totient is φ = 119642688000.

The previous prime is 273429322121. The next prime is 273429322157. The reversal of 273429322144 is 441223924372.

273429322144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 273429322144.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11088709 + ... + 11113339.

It is an arithmetic number, because the mean of its divisors is an integer number (4265424912).

Almost surely, 2^273429322144 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 273429322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307110593664).

273429322144 is an abundant number, since it is smaller than the sum of its proper divisors (340791865184).

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

273429322144 is a wasteful number, since it uses less digits than its factorization.

273429322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24771 (or 24752 counting only the distinct ones).

The product of its digits is 580608, while the sum is 43.

The spelling of 273429322144 in words is "two hundred seventy-three billion, four hundred twenty-nine million, three hundred twenty-two thousand, one hundred forty-four".