220167665653728 has 384 divisors, whose sum is σ = 683806161024000. Its totient is φ = 61373122854912.

The previous prime is 220167665653721. The next prime is 220167665653729. The reversal of 220167665653728 is 827356566761022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220167665653721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2343433698 + ... + 2343527646.

It is an arithmetic number, because the mean of its divisors is an integer number (1780745211000).

Almost surely, 2^{220167665653728} 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 220167665653728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341903080512000).

220167665653728 is an abundant number, since it is smaller than the sum of its proper divisors (463638495370272).

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

220167665653728 is a wasteful number, since it uses less digits than its factorization.

220167665653728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98314 (or 98306 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 66.

The spelling of 220167665653728 in words is "two hundred twenty trillion, one hundred sixty-seven billion, six hundred sixty-five million, six hundred fifty-three thousand, seven hundred twenty-eight".