221145345000 has 480 divisors, whose sum is σ = 799292894400. Its totient is φ = 55085184000.

The previous prime is 221145344993. The next prime is 221145345011. The reversal of 221145345000 is 543541122.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44502516 + ... + 44507484.

It is an arithmetic number, because the mean of its divisors is an integer number (1665193530).

Almost surely, 2^221145345000 is an apocalyptic number.

221145345000 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 221145345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399646447200).

221145345000 is an abundant number, since it is smaller than the sum of its proper divisors (578147549400).

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

221145345000 is a wasteful number, since it uses less digits than its factorization.

221145345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 221145345000 its reverse (543541122), we get a palindrome (221688886122).

The spelling of 221145345000 in words is "two hundred twenty-one billion, one hundred forty-five million, three hundred forty-five thousand".