221006453472 has 288 divisors, whose sum is σ = 770949047232. Its totient is φ = 58615529472.

The previous prime is 221006453471. The next prime is 221006453491. The reversal of 221006453472 is 274354600122.

221006453472 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 0 + 645 + 3 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221006453471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2457688 + ... + 2546024.

It is an arithmetic number, because the mean of its divisors is an integer number (2676906414).

Almost surely, 2^221006453472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221006453472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385474523616).

221006453472 is an abundant number, since it is smaller than the sum of its proper divisors (549942593760).

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

221006453472 is a wasteful number, since it uses less digits than its factorization.

221006453472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88450 (or 88439 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 221006453472 in words is "two hundred twenty-one billion, six million, four hundred fifty-three thousand, four hundred seventy-two".