164465046072 has 48 divisors (see below), whose sum is σ = 446537033280. Its totient is φ = 54684960000.

The previous prime is 164465046037. The next prime is 164465046089. The reversal of 164465046072 is 270640564461.

164465046072 is a `hidden beast` number, since 1 + 64 + 4 + 65 + 0 + 460 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2819304 + ... + 2877047.

It is an arithmetic number, because the mean of its divisors is an integer number (9302854860).

Almost surely, 2^164465046072 is an apocalyptic number.

164465046072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164465046072 is an abundant number, since it is smaller than the sum of its proper divisors (282071987208).

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

164465046072 is a wasteful number, since it uses less digits than its factorization.

164465046072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696764 (or 5696757 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 164465046072 in words is "one hundred sixty-four billion, four hundred sixty-five million, forty-six thousand, seventy-two".