164808991872 has 384 divisors, whose sum is σ = 571340515200. Its totient is φ = 46312611840.

The previous prime is 164808991847. The next prime is 164808991891. The reversal of 164808991872 is 278199808461.

164808991872 is a `hidden beast` number, since 1 + 6 + 480 + 89 + 9 + 1 + 8 + 72 = 666.

164808991872 is digitally balanced in base 7, 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 (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13275204 + ... + 13287612.

It is an arithmetic number, because the mean of its divisors is an integer number (1487865925).

Almost surely, 2^164808991872 is an apocalyptic number.

164808991872 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 164808991872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285670257600).

164808991872 is an abundant number, since it is smaller than the sum of its proper divisors (406531523328).

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

164808991872 is an equidigital number, since it uses as much as digits as its factorization.

164808991872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12506 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 164808991872 in words is "one hundred sixty-four billion, eight hundred eight million, nine hundred ninety-one thousand, eight hundred seventy-two".