221427900672 has 288 divisors, whose sum is σ = 666220705920. Its totient is φ = 64697794560.

The previous prime is 221427900653. The next prime is 221427900697. The reversal of 221427900672 is 276009724122.

221427900672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35317954 + ... + 35324222.

It is an arithmetic number, because the mean of its divisors is an integer number (2313266340).

Almost surely, 2^221427900672 is an apocalyptic number.

221427900672 is a gapful number since it is divisible by the number (22) 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 221427900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333110352960).

221427900672 is an abundant number, since it is smaller than the sum of its proper divisors (444792805248).

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

221427900672 is a wasteful number, since it uses less digits than its factorization.

221427900672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 221427900672 in words is "two hundred twenty-one billion, four hundred twenty-seven million, nine hundred thousand, six hundred seventy-two".