247829265848836 has 81 divisors (see below), whose sum is σ = 505620664664661. Its totient is φ = 105979142808000.

The previous prime is 247829265848831. The next prime is 247829265848837. The reversal of 247829265848836 is 638848562928742.

It is a happy number.

The square root of 247829265848836 is 15742594.

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., 208308429215236 + 39520836633600 = 14432894^2 + 6286560^2 .

It is a super-2 number, since 2×247829265848836² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247829265848836.

It is not an unprimeable number, because it can be changed into a prime (247829265848831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 132458184981 + ... + 132458186851.

Almost surely, 2^{247829265848836} is an apocalyptic number.

247829265848836 is the 15742594-th square number.

It is an amenable number.

247829265848836 is an abundant number, since it is smaller than the sum of its proper divisors (257791398815825).

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

247829265848836 is an frugal number, since it uses more digits than its factorization.

247829265848836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 2481 counting only the distinct ones).

The product of its digits is 17836277760, while the sum is 82.

The spelling of 247829265848836 in words is "two hundred forty-seven trillion, eight hundred twenty-nine billion, two hundred sixty-five million, eight hundred forty-eight thousand, eight hundred thirty-six".