164574639684 has 243 divisors, whose sum is σ = 524722724253. Its totient is φ = 43345882944.

The previous prime is 164574639637. The next prime is 164574639689. The reversal of 164574639684 is 486936475461.

The square root of 164574639684 is 405678.

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

164574639684 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 7 + 463 + 96 + 84 = 666.

164574639684 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 24345360900 + 140229278784 = 156030^2 + 374472^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (104509440) is a multiple of the sum of its prime divisors (768).

It is not an unprimeable number, because it can be changed into a prime (164574639689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 221499817 + ... + 221500559.

Almost surely, 2^164574639684 is an apocalyptic number.

164574639684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

164574639684 is the 405678-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164574639684

164574639684 is an abundant number, since it is smaller than the sum of its proper divisors (360148084569).

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

164574639684 is a wasteful number, since it uses less digits than its factorization.

164574639684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 768 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 164574639684 in words is "one hundred sixty-four billion, five hundred seventy-four million, six hundred thirty-nine thousand, six hundred eighty-four".