221396328179712 has 3072 divisors, whose sum is σ = 871216819200000. Its totient is φ = 54015383568384.

The previous prime is 221396328179711. The next prime is 221396328179743. The reversal of 221396328179712 is 217971823693122.

It is a happy number.

221396328179712 is a `hidden beast` number, since 2 + 2 + 1 + 396 + 3 + 2 + 8 + 179 + 71 + 2 = 666.

221396328179712 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221396328179712.

It is not an unprimeable number, because it can be changed into a prime (221396328179711) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 823034677114 + ... + 823034677382.

It is an arithmetic number, because the mean of its divisors is an integer number (283599225000).

Almost surely, 2^{221396328179712} 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 221396328179712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435608409600000).

221396328179712 is an abundant number, since it is smaller than the sum of its proper divisors (649820491020288).

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

221396328179712 is a wasteful number, since it uses less digits than its factorization.

221396328179712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 573 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 221396328179712 in words is "two hundred twenty-one trillion, three hundred ninety-six billion, three hundred twenty-eight million, one hundred seventy-nine thousand, seven hundred twelve".