164404643335506 has 128 divisors (see below), whose sum is σ = 426623560704000. Its totient is φ = 45951317200512.

The previous prime is 164404643335501. The next prime is 164404643335573. The reversal of 164404643335506 is 605533346404461.

164404643335506 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 0 + 46 + 43 + 3 + 3 + 550 + 6 = 666.

It is a super-3 number, since 3×164404643335506³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (164404643335501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34898265 + ... + 39328083.

It is an arithmetic number, because the mean of its divisors is an integer number (3332996568000).

Almost surely, 2^{164404643335506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164404643335506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213311780352000).

164404643335506 is an abundant number, since it is smaller than the sum of its proper divisors (262218917368494).

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

164404643335506 is a wasteful number, since it uses less digits than its factorization.

164404643335506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431973 (or 4431967 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

Adding to 164404643335506 its reverse (605533346404461), we get a palindrome (769937989739967).

The spelling of 164404643335506 in words is "one hundred sixty-four trillion, four hundred four billion, six hundred forty-three million, three hundred thirty-five thousand, five hundred six".