221900474880 has 960 divisors, whose sum is σ = 918460857600. Its totient is φ = 49464705024.

The previous prime is 221900474863. The next prime is 221900474927. The reversal of 221900474880 is 88474009122.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×221900474880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 339816634 + ... + 339817286.

It is an arithmetic number, because the mean of its divisors is an integer number (956730060).

Almost surely, 2^221900474880 is an apocalyptic number.

221900474880 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 221900474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459230428800).

221900474880 is an abundant number, since it is smaller than the sum of its proper divisors (696560382720).

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

221900474880 is an equidigital number, since it uses as much as digits as its factorization.

221900474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 221900474880 in words is "two hundred twenty-one billion, nine hundred million, four hundred seventy-four thousand, eight hundred eighty".