272432846401 has 9 divisors (see below), whose sum is σ = 289410408291. Its totient is φ = 256399033632.

The previous prime is 272432846383. The next prime is 272432846423. The reversal of 272432846401 is 104648234272.

It is a happy number.

The square root of 272432846401 is 521951.

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

It can be written as a sum of positive squares in only one way, i.e., 212101697025 + 60331149376 = 460545^2 + 245624^2 .

It is not a de Polignac number, because 272432846401 - 2⁵ = 272432846369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272432846461) 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, 8857816 + ... + 8888518.

Almost surely, 2^272432846401 is an apocalyptic number.

272432846401 is the 521951-st square number.

272432846401 is the 260976-th centered octagonal number.

It is an amenable number.

272432846401 is a deficient number, since it is larger than the sum of its proper divisors (16977561890).

272432846401 is an frugal number, since it uses more digits than its factorization.

272432846401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61440 (or 30720 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 272432846401 in words is "two hundred seventy-two billion, four hundred thirty-two million, eight hundred forty-six thousand, four hundred one".