201579448576 has 81 divisors (see below), whose sum is σ = 442449528339. Its totient is φ = 91591104000.

The previous prime is 201579448571. The next prime is 201579448583. The reversal of 201579448576 is 675844975102.

The square root of 201579448576 is 448976.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201579448576.

It is not an unprimeable number, because it can be changed into a prime (201579448571) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79018501 + ... + 79021051.

Almost surely, 2^201579448576 is an apocalyptic number.

201579448576 is the 448976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201579448576

201579448576 is an abundant number, since it is smaller than the sum of its proper divisors (240870079763).

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

201579448576 is an frugal number, since it uses more digits than its factorization.

201579448576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 58.

The spelling of 201579448576 in words is "two hundred one billion, five hundred seventy-nine million, four hundred forty-eight thousand, five hundred seventy-six".