164109184512 has 320 divisors, whose sum is σ = 540505405440. Its totient is φ = 43087233024.

The previous prime is 164109184507. The next prime is 164109184523. The reversal of 164109184512 is 215481901461.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 32565289 + ... + 32570327.

It is an arithmetic number, because the mean of its divisors is an integer number (1689079392).

Almost surely, 2^164109184512 is an apocalyptic number.

164109184512 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 164109184512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270252702720).

164109184512 is an abundant number, since it is smaller than the sum of its proper divisors (376396220928).

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

164109184512 is a wasteful number, since it uses less digits than its factorization.

164109184512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 164109184512 in words is "one hundred sixty-four billion, one hundred nine million, one hundred eighty-four thousand, five hundred twelve".