47727386067001 has 27 divisors (see below), whose sum is σ = 48926211769863. Its totient is φ = 46557769939200.

The previous prime is 47727386066953. The next prime is 47727386067007. The reversal of 47727386067001 is 10076068372774.

It is a happy number.

The square root of 47727386067001 is 6908501.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19120933817001 + 28606452250000 = 4372749^2 + 5348500^2 .

It is not a de Polignac number, because 47727386067001 - 2¹⁵ = 47727386034233 is a prime.

It is a super-2 number, since 2×47727386067001² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47727386067007) 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, 50936377405 + ... + 50936378341.

Almost surely, 2^{47727386067001} is an apocalyptic number.

47727386067001 is the 6908501-st square number.

47727386067001 is the 3454251-st centered octagonal number.

It is an amenable number.

47727386067001 is a deficient number, since it is larger than the sum of its proper divisors (1198825702862).

47727386067001 is an frugal number, since it uses more digits than its factorization.

47727386067001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 58.

The spelling of 47727386067001 in words is "forty-seven trillion, seven hundred twenty-seven billion, three hundred eighty-six million, sixty-seven thousand, one".