164117337374016 has 1344 divisors, whose sum is σ = 535375447326720. Its totient is φ = 47742002380800.

The previous prime is 164117337373993. The next prime is 164117337374083. The reversal of 164117337374016 is 610473733711461.

164117337374016 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 173 + 37 + 37 + 401 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326277012421 + ... + 326277012923.

It is an arithmetic number, because the mean of its divisors is an integer number (398344826880).

Almost surely, 2^{164117337374016} is an apocalyptic number.

164117337374016 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 164117337374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267687723663360).

164117337374016 is an abundant number, since it is smaller than the sum of its proper divisors (371258109952704).

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

164117337374016 is a wasteful number, since it uses less digits than its factorization.

164117337374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 164117337374016 in words is "one hundred sixty-four trillion, one hundred seventeen billion, three hundred thirty-seven million, three hundred seventy-four thousand, sixteen".