2127453318144 has 2112 divisors, whose sum is σ = 8552988288000. Its totient is φ = 502883942400.

The previous prime is 2127453318131. The next prime is 2127453318167. The reversal of 2127453318144 is 4418133547212.

2127453318144 is a `hidden beast` number, since 2 + 1 + 2 + 74 + 533 + 1 + 8 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

Its product of digits (645120) is a multiple of the sum of its prime divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 2127453318144.

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 191 ways as a sum of consecutive naturals, for example, 34876283874 + ... + 34876283934.

Almost surely, 2^{2127453318144} is an apocalyptic number.

2127453318144 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 2127453318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276494144000).

2127453318144 is an abundant number, since it is smaller than the sum of its proper divisors (6425534969856).

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

2127453318144 is a wasteful number, since it uses less digits than its factorization.

2127453318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 160 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 2127453318144 in words is "two trillion, one hundred twenty-seven billion, four hundred fifty-three million, three hundred eighteen thousand, one hundred forty-four".