164420035032 has 128 divisors (see below), whose sum is σ = 452456928000. Its totient is φ = 49377062400.

The previous prime is 164420035027. The next prime is 164420035057. The reversal of 164420035032 is 230530024461.

It is a super-3 number, since 3×164420035032³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18129363 + ... + 18138429.

It is an arithmetic number, because the mean of its divisors is an integer number (3534819750).

Almost surely, 2^164420035032 is an apocalyptic number.

164420035032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164420035032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226228464000).

164420035032 is an abundant number, since it is smaller than the sum of its proper divisors (288036892968).

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

164420035032 is a wasteful number, since it uses less digits than its factorization.

164420035032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9697 (or 9693 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 164420035032 its reverse (230530024461), we get a palindrome (394950059493).

The spelling of 164420035032 in words is "one hundred sixty-four billion, four hundred twenty million, thirty-five thousand, thirty-two".