47726501782969 has 27 divisors (see below), whose sum is σ = 49000193941167. Its totient is φ = 46485711955584.

The previous prime is 47726501782963. The next prime is 47726501783021. The reversal of 47726501782969 is 96928710562774.

The square root of 47726501782969 is 6908437.

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., 21431020303225 + 26295481479744 = 4629365^2 + 5127912^2 .

It is not a de Polignac number, because 47726501782969 - 2²⁷ = 47726367565241 is a prime.

It is a super-2 number, since 2×47726501782969² (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 (47726501782963) 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, 44897931532 + ... + 44897932594.

It is an arithmetic number, because the mean of its divisors is an integer number (1814821997821).

Almost surely, 2^{47726501782969} is an apocalyptic number.

47726501782969 is the 6908437-th square number.

47726501782969 is the 3454219-th centered octagonal number.

It is an amenable number.

47726501782969 is a deficient number, since it is larger than the sum of its proper divisors (1273692158198).

47726501782969 is an frugal number, since it uses more digits than its factorization.

47726501782969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 73.

The spelling of 47726501782969 in words is "forty-seven trillion, seven hundred twenty-six billion, five hundred one million, seven hundred eighty-two thousand, nine hundred sixty-nine".