164685199961376 has 288 divisors, whose sum is σ = 483631543100160. Its totient is φ = 53135328153600.

The previous prime is 164685199961341. The next prime is 164685199961377. The reversal of 164685199961376 is 673169991586461.

164685199961376 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 8 + 519 + 9 + 9 + 61 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 164685199961295 and 164685199961304.

It is not an unprimeable number, because it can be changed into a prime (164685199961377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329659881 + ... + 330159063.

It is an arithmetic number, because the mean of its divisors is an integer number (1679276191320).

Almost surely, 2^{164685199961376} is an apocalyptic number.

164685199961376 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 164685199961376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241815771550080).

164685199961376 is an abundant number, since it is smaller than the sum of its proper divisors (318946343138784).

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

164685199961376 is a wasteful number, since it uses less digits than its factorization.

164685199961376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499560 (or 499549 counting only the distinct ones).

The product of its digits is 3174474240, while the sum is 81.

The spelling of 164685199961376 in words is "one hundred sixty-four trillion, six hundred eighty-five billion, one hundred ninety-nine million, nine hundred sixty-one thousand, three hundred seventy-six".