2671263111168 has 480 divisors, whose sum is σ = 8288164684800. Its totient is φ = 856557600768.

The previous prime is 2671263111163. The next prime is 2671263111173. The reversal of 2671263111168 is 8611113621762.

2671263111168 is a `hidden beast` number, since 2 + 6 + 7 + 1 + 2 + 631 + 1 + 1 + 1 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2671263111163) and next prime (2671263111173).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671263111163) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 460004521 + ... + 460010327.

It is an arithmetic number, because the mean of its divisors is an integer number (17267009760).

Almost surely, 2^{2671263111168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671263111168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144082342400).

2671263111168 is an abundant number, since it is smaller than the sum of its proper divisors (5616901573632).

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

2671263111168 is an equidigital number, since it uses as much as digits as its factorization.

2671263111168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5947 (or 5918 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 2671263111168 in words is "two trillion, six hundred seventy-one billion, two hundred sixty-three million, one hundred eleven thousand, one hundred sixty-eight".