164958087072 has 24 divisors (see below), whose sum is σ = 433014978816. Its totient is φ = 54986028992.

The previous prime is 164958087059. The next prime is 164958087083. The reversal of 164958087072 is 270780859461.

164958087072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×164958087072² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 859156608 + ... + 859156799.

It is an arithmetic number, because the mean of its divisors is an integer number (18042290784).

Almost surely, 2^164958087072 is an apocalyptic number.

164958087072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164958087072 is an abundant number, since it is smaller than the sum of its proper divisors (268056891744).

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

164958087072 is a wasteful number, since it uses less digits than its factorization.

164958087072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718313420 (or 1718313412 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 164958087072 in words is "one hundred sixty-four billion, nine hundred fifty-eight million, eighty-seven thousand, seventy-two".