169264164145440 has 3072 divisors, whose sum is σ = 706663570636800. Its totient is φ = 33108590592000.

The previous prime is 169264164145393. The next prime is 169264164145451. The reversal of 169264164145440 is 44541461462961.

It is a happy 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 511 ways as a sum of consecutive naturals, for example, 1038430454799 + ... + 1038430454961.

It is an arithmetic number, because the mean of its divisors is an integer number (230033714400).

Almost surely, 2^{169264164145440} is an apocalyptic number.

169264164145440 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 169264164145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353331785318400).

169264164145440 is an abundant number, since it is smaller than the sum of its proper divisors (537399406491360).

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

169264164145440 is a wasteful number, since it uses less digits than its factorization.

169264164145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 169264164145440 in words is "one hundred sixty-nine trillion, two hundred sixty-four billion, one hundred sixty-four million, one hundred forty-five thousand, four hundred forty".