2168362271296 has 63 divisors (see below), whose sum is σ = 4659621580281. Its totient is φ = 1000711905024.

The previous prime is 2168362271249. The next prime is 2168362271303. The reversal of 2168362271296 is 6921722638612.

It is a happy number.

The square root of 2168362271296 is 1472536.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 320763649600 + 1847598621696 = 566360^2 + 1359264^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 153136665 + ... + 153150823.

Almost surely, 2^{2168362271296} is an apocalyptic number.

2168362271296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2168362271296 is the 1472536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168362271296

2168362271296 is an abundant number, since it is smaller than the sum of its proper divisors (2491259308985).

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

2168362271296 is an frugal number, since it uses more digits than its factorization.

2168362271296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28356 (or 14174 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The spelling of 2168362271296 in words is "two trillion, one hundred sixty-eight billion, three hundred sixty-two million, two hundred seventy-one thousand, two hundred ninety-six".