164150817768 has 192 divisors, whose sum is σ = 515144448000. Its totient is φ = 46250755200.

The previous prime is 164150817767. The next prime is 164150817799. The reversal of 164150817768 is 867718051461.

164150817768 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 508 + 1 + 77 + 68 = 666.

164150817768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164150817767) 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, 25054093 + ... + 25060643.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044000).

Almost surely, 2^164150817768 is an apocalyptic number.

164150817768 is a gapful number since it is divisible by the number (18) 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 164150817768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257572224000).

164150817768 is an abundant number, since it is smaller than the sum of its proper divisors (350993630232).

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

164150817768 is a wasteful number, since it uses less digits than its factorization.

164150817768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7252 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 164150817768 in words is "one hundred sixty-four billion, one hundred fifty million, eight hundred seventeen thousand, seven hundred sixty-eight".