164056465432521 has 24 divisors (see below), whose sum is σ = 240182628192000. Its totient is φ = 107890885732032.

The previous prime is 164056465432513. The next prime is 164056465432577. The reversal of 164056465432521 is 125234564650461.

164056465432521 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 5 + 6 + 46 + 543 + 2 + 52 + 1 = 666.

It is not a de Polignac number, because 164056465432521 - 2³ = 164056465432513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164056465432121) 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, 101385261 + ... + 102990698.

It is an arithmetic number, because the mean of its divisors is an integer number (10007609508000).

Almost surely, 2^{164056465432521} is an apocalyptic number.

It is an amenable number.

164056465432521 is a deficient number, since it is larger than the sum of its proper divisors (76126162759479).

164056465432521 is a wasteful number, since it uses less digits than its factorization.

164056465432521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204377173 (or 204377170 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 164056465432521 in words is "one hundred sixty-four trillion, fifty-six billion, four hundred sixty-five million, four hundred thirty-two thousand, five hundred twenty-one".