221225726456064 has 216 divisors, whose sum is σ = 695849566312992. Its totient is φ = 67036649103360.

The previous prime is 221225726456029. The next prime is 221225726456071. The reversal of 221225726456064 is 460654627522122.

221225726456064 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 5 + 7 + 26 + 4 + 5 + 606 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 221225726456064.

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 23 ways as a sum of consecutive naturals, for example, 2051618919 + ... + 2051726745.

Almost surely, 2^{221225726456064} is an apocalyptic number.

221225726456064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221225726456064 is an abundant number, since it is smaller than the sum of its proper divisors (474623839856928).

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

221225726456064 is a wasteful number, since it uses less digits than its factorization.

221225726456064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188813 (or 188796 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 221225726456064 in words is "two hundred twenty-one trillion, two hundred twenty-five billion, seven hundred twenty-six million, four hundred fifty-six thousand, sixty-four".