22122671616 has 160 divisors (see below), whose sum is σ = 66224109600. Its totient is φ = 7290961920.

The previous prime is 22122671587. The next prime is 22122671621. The reversal of 22122671616 is 61617622122.

It is a happy number.

22122671616 is a `hidden beast` number, since 2 + 2 + 12 + 26 + 7 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221346 + ... + 1239326.

It is an arithmetic number, because the mean of its divisors is an integer number (413900685).

Almost surely, 2^22122671616 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 22122671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33112054800).

22122671616 is an abundant number, since it is smaller than the sum of its proper divisors (44101437984).

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

22122671616 is an equidigital number, since it uses as much as digits as its factorization.

22122671616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18097 (or 18075 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

It can be divided in two parts, 2212 and 2671616, that added together give a triangular number (2673828 = T₂₃₁₂).

The spelling of 22122671616 in words is "twenty-two billion, one hundred twenty-two million, six hundred seventy-one thousand, six hundred sixteen".