82667712567345 has 8 divisors (see below), whose sum is σ = 132268340107776. Its totient is φ = 44089446702576.

The previous prime is 82667712567199. The next prime is 82667712567383. The reversal of 82667712567345 is 54376521776628.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82667712567345 - 2²⁴ = 82667695790129 is a prime.

It is a super-2 number, since 2×82667712567345² (a number of 29 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 82667712567345.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2755590418897 + ... + 2755590418926.

It is an arithmetic number, because the mean of its divisors is an integer number (16533542513472).

Almost surely, 2^{82667712567345} is an apocalyptic number.

It is an amenable number.

82667712567345 is a deficient number, since it is larger than the sum of its proper divisors (49600627540431).

82667712567345 is a wasteful number, since it uses less digits than its factorization.

82667712567345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511180837831.

The product of its digits is 711244800, while the sum is 69.

The spelling of 82667712567345 in words is "eighty-two trillion, six hundred sixty-seven billion, seven hundred twelve million, five hundred sixty-seven thousand, three hundred forty-five".