164230934400 has 1920 divisors, whose sum is σ = 717332837760. Its totient is φ = 36628070400.

The previous prime is 164230934393. The next prime is 164230934419. The reversal of 164230934400 is 4439032461.

It is a happy number.

164230934400 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 309 + 344 + 0 + 0 = 666.

164230934400 is digitally balanced in base 2, 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 (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2692310370 + ... + 2692310430.

It is an arithmetic number, because the mean of its divisors is an integer number (373610853).

Almost surely, 2^164230934400 is an apocalyptic number.

164230934400 is a gapful number since it is divisible by the number (10) 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 164230934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358666418880).

164230934400 is an abundant number, since it is smaller than the sum of its proper divisors (553101903360).

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

164230934400 is a wasteful number, since it uses less digits than its factorization.

164230934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 164230934400 its reverse (4439032461), we get a palindrome (168669966861).

The spelling of 164230934400 in words is "one hundred sixty-four billion, two hundred thirty million, nine hundred thirty-four thousand, four hundred".