164634685504 has 63 divisors (see below), whose sum is σ = 332084489373. Its totient is φ = 80981607168.

The previous prime is 164634685433. The next prime is 164634685507. The reversal of 164634685504 is 405586436461.

It is a happy number.

The square root of 164634685504 is 405752.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 101709966400 + 62924719104 = 318920^2 + 250848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164634685507) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 217482694 + ... + 217483450.

It is an arithmetic number, because the mean of its divisors is an integer number (5271182371).

Almost surely, 2^164634685504 is an apocalyptic number.

164634685504 is the 405752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164634685504

164634685504 is an abundant number, since it is smaller than the sum of its proper divisors (167449803869).

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

164634685504 is an frugal number, since it uses more digits than its factorization.

164634685504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 164634685504 in words is "one hundred sixty-four billion, six hundred thirty-four million, six hundred eighty-five thousand, five hundred four".