221838160320 has 672 divisors, whose sum is σ = 912873561600. Its totient is φ = 50227236864.

The previous prime is 221838160309. The next prime is 221838160337. The reversal of 221838160320 is 23061838122.

221838160320 is a `hidden beast` number, since 2 + 2 + 18 + 38 + 1 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59329011 + ... + 59332749.

It is an arithmetic number, because the mean of its divisors is an integer number (1358442800).

Almost surely, 2^221838160320 is an apocalyptic number.

221838160320 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 221838160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456436780800).

221838160320 is an abundant number, since it is smaller than the sum of its proper divisors (691035401280).

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

221838160320 is a wasteful number, since it uses less digits than its factorization.

221838160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 221838160320 its reverse (23061838122), we get a palindrome (244899998442).

The spelling of 221838160320 in words is "two hundred twenty-one billion, eight hundred thirty-eight million, one hundred sixty thousand, three hundred twenty".