2143105582464 has 2048 divisors, whose sum is σ = 8715976704000. Its totient is φ = 505825689600.

The previous prime is 2143105582459. The next prime is 2143105582481. The reversal of 2143105582464 is 4642855013412.

2143105582464 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 1 + 0 + 5 + 582 + 4 + 64 = 666.

It is a super-2 number, since 2×2143105582464² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18965536072 + ... + 18965536184.

It is an arithmetic number, because the mean of its divisors is an integer number (4255848000).

Almost surely, 2^{2143105582464} is an apocalyptic number.

2143105582464 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 2143105582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357988352000).

2143105582464 is an abundant number, since it is smaller than the sum of its proper divisors (6572871121536).

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

2143105582464 is a wasteful number, since it uses less digits than its factorization.

2143105582464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 2143105582464 in words is "two trillion, one hundred forty-three billion, one hundred five million, five hundred eighty-two thousand, four hundred sixty-four".