16667623632256 has 64 divisors (see below), whose sum is σ = 33915771740160. Its totient is φ = 8155474393600.

The previous prime is 16667623632251. The next prime is 16667623632263. The reversal of 16667623632256 is 65223632676661.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 16667623632194 and 16667623632203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16667623632251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48987201 + ... + 49326271.

It is an arithmetic number, because the mean of its divisors is an integer number (529933933440).

Almost surely, 2^{16667623632256} is an apocalyptic number.

16667623632256 is a gapful number since it is divisible by the number (16) 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 16667623632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16957885870080).

16667623632256 is an abundant number, since it is smaller than the sum of its proper divisors (17248148107904).

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

16667623632256 is an equidigital number, since it uses as much as digits as its factorization.

16667623632256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347303 (or 347291 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 61.

The spelling of 16667623632256 in words is "sixteen trillion, six hundred sixty-seven billion, six hundred twenty-three million, six hundred thirty-two thousand, two hundred fifty-six".