727046817345 has 48 divisors (see below), whose sum is σ = 1286091049152. Its totient is φ = 379860243840.

The previous prime is 727046817337. The next prime is 727046817353. The reversal of 727046817345 is 543718640727.

727046817345 is a `hidden beast` number, since 7 + 2 + 7 + 0 + 468 + 173 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (727046817337) and next prime (727046817353).

It is not a de Polignac number, because 727046817345 - 2³ = 727046817337 is a prime.

It is a super-2 number, since 2×727046817345² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 727046817291 and 727046817300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120427 + ... + 1211856.

It is an arithmetic number, because the mean of its divisors is an integer number (26793563524).

Almost surely, 2^727046817345 is an apocalyptic number.

It is an amenable number.

727046817345 is a deficient number, since it is larger than the sum of its proper divisors (559044231807).

727046817345 is a wasteful number, since it uses less digits than its factorization.

727046817345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332542 (or 1332539 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 727046817345 in words is "seven hundred twenty-seven billion, forty-six million, eight hundred seventeen thousand, three hundred forty-five".