221073144500 has 192 divisors, whose sum is σ = 525645469440. Its totient is φ = 80740800000.

The previous prime is 221073144499. The next prime is 221073144547. The reversal of 221073144500 is 5441370122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292038122 + ... + 292038878.

It is an arithmetic number, because the mean of its divisors is an integer number (2737736820).

Almost surely, 2^221073144500 is an apocalyptic number.

221073144500 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 221073144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262822734720).

221073144500 is an abundant number, since it is smaller than the sum of its proper divisors (304572324940).

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

221073144500 is a wasteful number, since it uses less digits than its factorization.

221073144500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 221073144500 in words is "two hundred twenty-one billion, seventy-three million, one hundred forty-four thousand, five hundred".