447272164416100 has 27 divisors (see below), whose sum is σ = 970581055712331. Its totient is φ = 178908781171200.

The previous prime is 447272164416097. The next prime is 447272164416169. The reversal of 447272164416100 is 1614461272744.

The square root of 447272164416100 is 21148810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9109808916516 + 438162355499584 = 3018246^2 + 20932328^2 .

It is a super-2 number, since 2×447272164416100² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 210430660 + ... + 212545540.

Almost surely, 2^{447272164416100} is an apocalyptic number.

447272164416100 is the 21148810-th square number.

It is an amenable number.

447272164416100 is an abundant number, since it is smaller than the sum of its proper divisors (523308891296231).

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

447272164416100 is an frugal number, since it uses more digits than its factorization.

447272164416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229776 (or 2114888 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

The spelling of 447272164416100 in words is "four hundred forty-seven trillion, two hundred seventy-two billion, one hundred sixty-four million, four hundred sixteen thousand, one hundred".