2743535142144 has 180 divisors, whose sum is σ = 8186794396704. Its totient is φ = 913833280512.

The previous prime is 2743535142097. The next prime is 2743535142149. The reversal of 2743535142144 is 4412415353472.

2743535142144 is a `hidden beast` number, since 2 + 7 + 43 + 53 + 514 + 2 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2743535142144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2743535142149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28297719 + ... + 28394505.

Almost surely, 2^{2743535142144} is an apocalyptic number.

2743535142144 is a gapful number since it is divisible by the number (24) 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 2743535142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093397198352).

2743535142144 is an abundant number, since it is smaller than the sum of its proper divisors (5443259254560).

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

2743535142144 is an equidigital number, since it uses as much as digits as its factorization.

2743535142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98182 (or 98159 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 2743535142144 in words is "two trillion, seven hundred forty-three billion, five hundred thirty-five million, one hundred forty-two thousand, one hundred forty-four".