221311192940064 has 384 divisors, whose sum is σ = 652941015552000. Its totient is φ = 72924990695424.

The previous prime is 221311192940041. The next prime is 221311192940081. The reversal of 221311192940064 is 460049291113122.

221311192940064 is a `hidden beast` number, since 2 + 2 + 1 + 311 + 192 + 94 + 0 + 0 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19631963932 + ... + 19631975204.

It is an arithmetic number, because the mean of its divisors is an integer number (1700367228000).

Almost surely, 2^{221311192940064} is an apocalyptic number.

221311192940064 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 221311192940064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326470507776000).

221311192940064 is an abundant number, since it is smaller than the sum of its proper divisors (431629822611936).

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

221311192940064 is a wasteful number, since it uses less digits than its factorization.

221311192940064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12197 (or 12183 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 221311192940064 in words is "two hundred twenty-one trillion, three hundred eleven billion, one hundred ninety-two million, nine hundred forty thousand, sixty-four".