2144963358720 has 1560 divisors, whose sum is σ = 9524275412256. Its totient is φ = 452149641216.

The previous prime is 2144963358697. The next prime is 2144963358731. The reversal of 2144963358720 is 278533694412.

2144963358720 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 9 + 6 + 33 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 1962454494 + ... + 1962455586.

It is a 1-persistent number, because it is pandigital, but 2⋅2144963358720 = 4289926717440 is not.

Almost surely, 2^{2144963358720} is an apocalyptic number.

2144963358720 is a gapful number since it is divisible by the number (20) 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 2144963358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762137706128).

2144963358720 is an abundant number, since it is smaller than the sum of its proper divisors (7379312053536).

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

2144963358720 is a wasteful number, since it uses less digits than its factorization.

2144963358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2144963358720 in words is "two trillion, one hundred forty-four billion, nine hundred sixty-three million, three hundred fifty-eight thousand, seven hundred twenty".