164192083893 has 24 divisors (see below), whose sum is σ = 249517149336. Its totient is φ = 103905331200.

The previous prime is 164192083873. The next prime is 164192083907. The reversal of 164192083893 is 398380291461.

164192083893 is a `hidden beast` number, since 16 + 41 + 9 + 208 + 389 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29016737649 + 135175346244 = 170343^2 + 367662^2 .

It is not a de Polignac number, because 164192083893 - 2³⁰ = 163118342069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164192083813) 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, 5999388 + ... + 6026693.

It is an arithmetic number, because the mean of its divisors is an integer number (10396547889).

Almost surely, 2^164192083893 is an apocalyptic number.

It is an amenable number.

164192083893 is a deficient number, since it is larger than the sum of its proper divisors (85325065443).

164192083893 is a wasteful number, since it uses less digits than its factorization.

164192083893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12026165 (or 12026162 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 164192083893 in words is "one hundred sixty-four billion, one hundred ninety-two million, eighty-three thousand, eight hundred ninety-three".