164389936896 has 216 divisors, whose sum is σ = 514103151744. Its totient is φ = 50314936320.

The previous prime is 164389936861. The next prime is 164389936933. The reversal of 164389936896 is 698639983461.

164389936896 is a `hidden beast` number, since 1 + 64 + 38 + 99 + 368 + 96 = 666.

It is a super-2 number, since 2×164389936896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 1554705 + ... + 1657071.

It is an arithmetic number, because the mean of its divisors is an integer number (2380107184).

Almost surely, 2^164389936896 is an apocalyptic number.

164389936896 is a gapful number since it is divisible by the number (16) 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 164389936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257051575872).

164389936896 is an abundant number, since it is smaller than the sum of its proper divisors (349713214848).

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

164389936896 is a wasteful number, since it uses less digits than its factorization.

164389936896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102447 (or 102430 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 164389936896 in words is "one hundred sixty-four billion, three hundred eighty-nine million, nine hundred thirty-six thousand, eight hundred ninety-six".