164388891600 has 720 divisors, whose sum is σ = 626588913600. Its totient is φ = 39747502080.

The previous prime is 164388891593. The next prime is 164388891607. The reversal of 164388891600 is 6198883461.

164388891600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 405449²-1.

It is an interprime number because it is at equal distance from previous prime (164388891593) and next prime (164388891607).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164388891607) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 191371971 + ... + 191372829.

It is an arithmetic number, because the mean of its divisors is an integer number (870262380).

Almost surely, 2^164388891600 is an apocalyptic number.

164388891600 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 164388891600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313294456800).

164388891600 is an abundant number, since it is smaller than the sum of its proper divisors (462200022000).

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

164388891600 is a wasteful number, since it uses less digits than its factorization.

164388891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 164388891600 in words is "one hundred sixty-four billion, three hundred eighty-eight million, eight hundred ninety-one thousand, six hundred".