86605675634367 has 24 divisors (see below), whose sum is σ = 129759832906704. Its totient is φ = 55621867480704.

The previous prime is 86605675634347. The next prime is 86605675634399. The reversal of 86605675634367 is 76343657650668.

86605675634367 is a `hidden beast` number, since 8 + 6 + 6 + 0 + 56 + 7 + 563 + 4 + 3 + 6 + 7 = 666.

It is not a de Polignac number, because 86605675634367 - 2¹⁰ = 86605675633343 is a prime.

It is a super-4 number, since 4×86605675634367⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86605675634295 and 86605675634304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86605675634347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1532761308 + ... + 1532817809.

It is an arithmetic number, because the mean of its divisors is an integer number (5406659704446).

Almost surely, 2^{86605675634367} is an apocalyptic number.

86605675634367 is a deficient number, since it is larger than the sum of its proper divisors (43154157272337).

86605675634367 is a wasteful number, since it uses less digits than its factorization.

86605675634367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065579239 (or 3065579236 counting only the distinct ones).

The product of its (nonzero) digits is 2743372800, while the sum is 72.

The spelling of 86605675634367 in words is "eighty-six trillion, six hundred five billion, six hundred seventy-five million, six hundred thirty-four thousand, three hundred sixty-seven".