2606123643168 has 192 divisors, whose sum is σ = 7516178611200. Its totient is φ = 786999628800.

The previous prime is 2606123643119. The next prime is 2606123643181. The reversal of 2606123643168 is 8613463216062.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264334623 + ... + 264344481.

It is an arithmetic number, because the mean of its divisors is an integer number (39146763600).

Almost surely, 2^{2606123643168} 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 2606123643168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758089305600).

2606123643168 is an abundant number, since it is smaller than the sum of its proper divisors (4910054968032).

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

2606123643168 is a wasteful number, since it uses less digits than its factorization.

2606123643168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16215 (or 16207 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 2606123643168 in words is "two trillion, six hundred six billion, one hundred twenty-three million, six hundred forty-three thousand, one hundred sixty-eight".