221604873800 has 36 divisors (see below), whose sum is σ = 515246810505. Its totient is φ = 88639286560.

The previous prime is 221604873757. The next prime is 221604873803. The reversal of 221604873800 is 8378406122.

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 2 ways, for example, as 217172776324 + 4432097476 = 466018^2 + 66574^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332870.

It is not an unprimeable number, because it can be changed into a prime (221604873803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6640757 + ... + 6674043.

Almost surely, 2^221604873800 is an apocalyptic number.

221604873800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221604873800 is an abundant number, since it is smaller than the sum of its proper divisors (293641936705).

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

221604873800 is an frugal number, since it uses more digits than its factorization.

221604873800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66590 (or 33294 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 221604873800 in words is "two hundred twenty-one billion, six hundred four million, eight hundred seventy-three thousand, eight hundred".