164492729045568 has 896 divisors, whose sum is σ = 619769516912640. Its totient is φ = 41532230615040.

The previous prime is 164492729045549. The next prime is 164492729045633. The reversal of 164492729045568 is 865540927294461.

164492729045568 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 9 + 27 + 2 + 90 + 455 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 164492729045496 and 164492729045505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5528594980 + ... + 5528624732.

Almost surely, 2^{164492729045568} is an apocalyptic number.

164492729045568 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 164492729045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309884758456320).

164492729045568 is an abundant number, since it is smaller than the sum of its proper divisors (455276787867072).

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

164492729045568 is a wasteful number, since it uses less digits than its factorization.

164492729045568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30952 (or 30936 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 164492729045568 in words is "one hundred sixty-four trillion, four hundred ninety-two billion, seven hundred twenty-nine million, forty-five thousand, five hundred sixty-eight".