221351964800 has 72 divisors (see below), whose sum is σ = 546874279335. Its totient is φ = 88530140160.

The previous prime is 221351964793. The next prime is 221351964829. The reversal of 221351964800 is 8469153122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 205194504256 + 16157460544 = 452984^2 + 127112^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332680.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26610242 + ... + 26618558.

Almost surely, 2^221351964800 is an apocalyptic number.

221351964800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221351964800 is an abundant number, since it is smaller than the sum of its proper divisors (325522314535).

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

221351964800 is an frugal number, since it uses more digits than its factorization.

221351964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16658 (or 8324 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 221351964800 in words is "two hundred twenty-one billion, three hundred fifty-one million, nine hundred sixty-four thousand, eight hundred".