164209731984 has 45 divisors (see below), whose sum is σ = 459572789793. Its totient is φ = 54734956416.

The previous prime is 164209731977. The next prime is 164209731991. The reversal of 164209731984 is 489137902461.

The square root of 164209731984 is 405228.

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

164209731984 is a `hidden beast` number, since 16 + 420 + 97 + 31 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (164209731977) and next prime (164209731991).

It can be written as a sum of positive squares in only one way, i.e., 138660906384 + 25548825600 = 372372^2 + 159840^2 .

It is a super-2 number, since 2×164209731984² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164209731984.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4845852 + ... + 4879620.

Almost surely, 2^164209731984 is an apocalyptic number.

164209731984 is the 405228-th square number.

It is an amenable number.

164209731984 is an abundant number, since it is smaller than the sum of its proper divisors (295363057809).

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

164209731984 is an frugal number, since it uses more digits than its factorization.

164209731984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67552 (or 33774 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 164209731984 in words is "one hundred sixty-four billion, two hundred nine million, seven hundred thirty-one thousand, nine hundred eighty-four".