164082682593 has 12 divisors (see below), whose sum is σ = 237366888148. Its totient is φ = 109222961760.

The previous prime is 164082682567. The next prime is 164082682633. The reversal of 164082682593 is 395286280461.

164082682593 is a `hidden beast` number, since 1 + 6 + 40 + 8 + 2 + 6 + 8 + 2 + 593 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66384553104 + 97698129489 = 257652^2 + 312567^2 .

It is not a de Polignac number, because 164082682593 - 2²⁵ = 164049128161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164082682523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13784830 + ... + 13796727.

Almost surely, 2^164082682593 is an apocalyptic number.

It is an amenable number.

164082682593 is a deficient number, since it is larger than the sum of its proper divisors (73284205555).

164082682593 is a wasteful number, since it uses less digits than its factorization.

164082682593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27582224 (or 27582221 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 164082682593 in words is "one hundred sixty-four billion, eighty-two million, six hundred eighty-two thousand, five hundred ninety-three".