164928166400 has 60 divisors (see below), whose sum is σ = 408622448982. Its totient is φ = 65971261440.

The previous prime is 164928166397. The next prime is 164928166421. The reversal of 164928166400 is 4661829461.

It is a happy number.

164928166400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 157971271936 + 6956894464 = 397456^2 + 83408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6429707 + ... + 6455306.

Almost surely, 2^164928166400 is an apocalyptic number.

164928166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164928166400 is an abundant number, since it is smaller than the sum of its proper divisors (243694282582).

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

164928166400 is an equidigital number, since it uses as much as digits as its factorization.

164928166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12885041 (or 12885020 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 164928166400 in words is "one hundred sixty-four billion, nine hundred twenty-eight million, one hundred sixty-six thousand, four hundred".