221310138932064 has 4608 divisors, whose sum is σ = 956006651658240. Its totient is φ = 46825006694400.

The previous prime is 221310138932053. The next prime is 221310138932143. The reversal of 221310138932064 is 460239831013122.

It is a happy number.

221310138932064 is a `hidden beast` number, since 2 + 2 + 1 + 310 + 1 + 3 + 8 + 9 + 320 + 6 + 4 = 666.

It is a congruent number.

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 767 ways as a sum of consecutive naturals, for example, 223320018609 + ... + 223320019599.

It is an arithmetic number, because the mean of its divisors is an integer number (207466721280).

Almost surely, 2^{221310138932064} is an apocalyptic number.

221310138932064 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 221310138932064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478003325829120).

221310138932064 is an abundant number, since it is smaller than the sum of its proper divisors (734696512726176).

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

221310138932064 is a wasteful number, since it uses less digits than its factorization.

221310138932064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

Adding to 221310138932064 its reverse (460239831013122), we get a palindrome (681549969945186).

The spelling of 221310138932064 in words is "two hundred twenty-one trillion, three hundred ten billion, one hundred thirty-eight million, nine hundred thirty-two thousand, sixty-four".