2622166345656 has 384 divisors, whose sum is σ = 8520640128000. Its totient is φ = 717984691200.

The previous prime is 2622166345651. The next prime is 2622166345657. The reversal of 2622166345656 is 6565436612262.

2622166345656 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 16 + 63 + 4 + 565 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2622166345651) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 145174866 + ... + 145192926.

It is an arithmetic number, because the mean of its divisors is an integer number (22189167000).

Almost surely, 2^{2622166345656} is an apocalyptic number.

2622166345656 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 2622166345656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260320064000).

2622166345656 is an abundant number, since it is smaller than the sum of its proper divisors (5898473782344).

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

2622166345656 is a wasteful number, since it uses less digits than its factorization.

2622166345656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18395 (or 18388 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 2622166345656 in words is "two trillion, six hundred twenty-two billion, one hundred sixty-six million, three hundred forty-five thousand, six hundred fifty-six".