221447467344000 has 256 divisors, whose sum is σ = 734124083472000. Its totient is φ = 59050588262400.

The previous prime is 221447467343959. The next prime is 221447467344017. The reversal of 221447467344000 is 443764744122.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 1775793651 + ... + 1775918349.

Almost surely, 2^{221447467344000} is an apocalyptic number.

221447467344000 is a gapful number since it is divisible by the number (20) 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 221447467344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367062041736000).

221447467344000 is an abundant number, since it is smaller than the sum of its proper divisors (512676616128000).

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

221447467344000 is a wasteful number, since it uses less digits than its factorization.

221447467344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161728 (or 161706 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 48.

The spelling of 221447467344000 in words is "two hundred twenty-one trillion, four hundred forty-seven billion, four hundred sixty-seven million, three hundred forty-four thousand".