164544156843616 has 192 divisors, whose sum is σ = 357211036385280. Its totient is φ = 73989536832000.

The previous prime is 164544156843611. The next prime is 164544156843691. The reversal of 164544156843616 is 616348651445461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164544156843611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35840589481 + ... + 35840594071.

It is an arithmetic number, because the mean of its divisors is an integer number (1860474147840).

Almost surely, 2^{164544156843616} is an apocalyptic number.

164544156843616 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 164544156843616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178605518192640).

164544156843616 is an abundant number, since it is smaller than the sum of its proper divisors (192666879541664).

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

164544156843616 is a wasteful number, since it uses less digits than its factorization.

164544156843616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7209 (or 7201 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 64.

The spelling of 164544156843616 in words is "one hundred sixty-four trillion, five hundred forty-four billion, one hundred fifty-six million, eight hundred forty-three thousand, six hundred sixteen".