164516000004 has 18 divisors (see below), whose sum is σ = 415859888990. Its totient is φ = 54838666656.

The previous prime is 164515999957. The next prime is 164516000059. The reversal of 164516000004 is 400000615461.

164516000004 is a `hidden beast` number, since 1 + 6 + 4 + 51 + 600 + 0 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164414030400 + 101969604 = 405480^2 + 10098^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×164516000004² (a number of 23 digits) contains 22 as substring.

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, 2284944409 + ... + 2284944480.

Almost surely, 2^164516000004 is an apocalyptic number.

It is an amenable number.

164516000004 is an abundant number, since it is smaller than the sum of its proper divisors (251343888986).

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

164516000004 is a wasteful number, since it uses less digits than its factorization.

164516000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4569888899 (or 4569888894 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 164516000004 its reverse (400000615461), we get a palindrome (564516615465).

The spelling of 164516000004 in words is "one hundred sixty-four billion, five hundred sixteen million, four", and thus it is an aban number.