164358000419904 has 42 divisors (see below), whose sum is σ = 471102532455230. Its totient is φ = 54786000139776.

The previous prime is 164358000419891. The next prime is 164358000419953. The reversal of 164358000419904 is 409914000853461.

164358000419904 is a `hidden beast` number, since 1 + 6 + 43 + 580 + 0 + 0 + 4 + 19 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95151440793600 + 69206559626304 = 9754560^2 + 8319048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142671874789 + ... + 142671875940.

Almost surely, 2^{164358000419904} is an apocalyptic number.

It is an amenable number.

164358000419904 is an abundant number, since it is smaller than the sum of its proper divisors (306744532035326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164358000419904 is a wasteful number, since it uses less digits than its factorization.

164358000419904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285343750747 (or 285343750734 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 164358000419904 in words is "one hundred sixty-four trillion, three hundred fifty-eight billion, four hundred nineteen thousand, nine hundred four".