221422716674064 has 120 divisors (see below), whose sum is σ = 634361565469632. Its totient is φ = 72059917628160.

The previous prime is 221422716673933. The next prime is 221422716674099. The reversal of 221422716674064 is 460476617224122.

221422716674064 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 227 + 1 + 6 + 6 + 7 + 406 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 221422716674064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6572914 + ... + 22046510.

Almost surely, 2^{221422716674064} is an apocalyptic number.

221422716674064 is a gapful number since it is divisible by the number (24) 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 221422716674064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317180782734816).

221422716674064 is an abundant number, since it is smaller than the sum of its proper divisors (412938848795568).

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

221422716674064 is a wasteful number, since it uses less digits than its factorization.

221422716674064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15475965 (or 15475956 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 221422716674064 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, seven hundred sixteen million, six hundred seventy-four thousand, sixty-four".