2168744288256 has 1792 divisors, whose sum is σ = 8560890777600. Its totient is φ = 526679801856.

The previous prime is 2168744288189. The next prime is 2168744288281. The reversal of 2168744288256 is 6528824478612.

It is a happy number.

2168744288256 is a `hidden beast` number, since 2 + 1 + 6 + 87 + 4 + 428 + 82 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-4 number, since 4×2168744288256⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2168744288193 and 2168744288202.

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 127 ways as a sum of consecutive naturals, for example, 20268638155 + ... + 20268638261.

It is an arithmetic number, because the mean of its divisors is an integer number (4777282800).

Almost surely, 2^{2168744288256} is an apocalyptic number.

2168744288256 is a gapful number since it is divisible by the number (26) 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 2168744288256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280445388800).

2168744288256 is an abundant number, since it is smaller than the sum of its proper divisors (6392146489344).

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

2168744288256 is a wasteful number, since it uses less digits than its factorization.

2168744288256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 204 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 2168744288256 in words is "two trillion, one hundred sixty-eight billion, seven hundred forty-four million, two hundred eighty-eight thousand, two hundred fifty-six".