221345276572000 has 384 divisors, whose sum is σ = 641684253450240. Its totient is φ = 73430634240000.

The previous prime is 221345276571997. The next prime is 221345276572001. The reversal of 221345276572000 is 275672543122.

It is a happy number.

221345276572000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221345276572001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7344132931 + ... + 7344163069.

It is an arithmetic number, because the mean of its divisors is an integer number (1671052743360).

Almost surely, 2^{221345276572000} is an apocalyptic number.

221345276572000 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 221345276572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320842126725120).

221345276572000 is an abundant number, since it is smaller than the sum of its proper divisors (420338976878240).

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

221345276572000 is a wasteful number, since it uses less digits than its factorization.

221345276572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38663 (or 38645 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 221345276572000 in words is "two hundred twenty-one trillion, three hundred forty-five billion, two hundred seventy-six million, five hundred seventy-two thousand".