164269294560 has 1152 divisors, whose sum is σ = 704717604864. Its totient is φ = 33991557120.

The previous prime is 164269294549. The next prime is 164269294571. The reversal of 164269294560 is 65492962461.

164269294560 is a `hidden beast` number, since 16 + 4 + 2 + 69 + 2 + 9 + 4 + 560 = 666.

164269294560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164269294549) and next prime (164269294571).

It is a super-2 number, since 2×164269294560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164269294497 and 164269294506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 723653167 + ... + 723653393.

It is an arithmetic number, because the mean of its divisors is an integer number (611734032).

Almost surely, 2^164269294560 is an apocalyptic number.

164269294560 is a gapful number since it is divisible by the number (10) 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 164269294560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352358802432).

164269294560 is an abundant number, since it is smaller than the sum of its proper divisors (540448310304).

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

164269294560 is a wasteful number, since it uses less digits than its factorization.

164269294560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 164269294560 in words is "one hundred sixty-four billion, two hundred sixty-nine million, two hundred ninety-four thousand, five hundred sixty".