2143886745600 has 1008 divisors, whose sum is σ = 8314522961472. Its totient is φ = 546554511360.

The previous prime is 2143886745521. The next prime is 2143886745631. The reversal of 2143886745600 is 65476883412.

It is a happy number.

2143886745600 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 8 + 8 + 6 + 74 + 560 + 0 = 666.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1144626264 + ... + 1144628136.

It is an arithmetic number, because the mean of its divisors is an integer number (8248534684).

Almost surely, 2^{2143886745600} is an apocalyptic number.

2143886745600 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 2143886745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157261480736).

2143886745600 is an abundant number, since it is smaller than the sum of its proper divisors (6170636215872).

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

2143886745600 is an equidigital number, since it uses as much as digits as its factorization.

2143886745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2143886745600 in words is "two trillion, one hundred forty-three billion, eight hundred eighty-six million, seven hundred forty-five thousand, six hundred".