272349340641 has 27 divisors (see below), whose sum is σ = 457639416273. Its totient is φ = 155621932200.

The previous prime is 272349340603. The next prime is 272349340661. The reversal of 272349340641 is 146043943272.

The square root of 272349340641 is 521871.

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

272349340641 is a `hidden beast` number, since 2 + 7 + 234 + 9 + 3 + 406 + 4 + 1 = 666.

It is not a de Polignac number, because 272349340641 - 2⁷ = 272349340513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (272349340661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10946866 + ... + 10971716.

Almost surely, 2^272349340641 is an apocalyptic number.

272349340641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

272349340641 is the 521871-st square number.

272349340641 is the 260936-th centered octagonal number.

It is an amenable number.

272349340641 is a deficient number, since it is larger than the sum of its proper divisors (185290075632).

272349340641 is an frugal number, since it uses more digits than its factorization.

272349340641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49722 (or 24861 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 272349340641 in words is "two hundred seventy-two billion, three hundred forty-nine million, three hundred forty thousand, six hundred forty-one".