221272573648896 has 1344 divisors, whose sum is σ = 829501095002112. Its totient is φ = 55614062592000.

The previous prime is 221272573648871. The next prime is 221272573648949. The reversal of 221272573648896 is 698846375272122.

It is a happy number.

221272573648896 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 7 + 2 + 57 + 3 + 6 + 488 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×221272573648896² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 21294631861 + ... + 21294642251.

Almost surely, 2^{221272573648896} 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 221272573648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414750547501056).

221272573648896 is an abundant number, since it is smaller than the sum of its proper divisors (608228521353216).

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

221272573648896 is a wasteful number, since it uses less digits than its factorization.

221272573648896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10494 (or 10445 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 221272573648896 in words is "two hundred twenty-one trillion, two hundred seventy-two billion, five hundred seventy-three million, six hundred forty-eight thousand, eight hundred ninety-six".