173478914064 has 135 divisors (see below), whose sum is σ = 494458501719. Its totient is φ = 56778370560.

The previous prime is 173478914053. The next prime is 173478914069. The reversal of 173478914064 is 460419874371.

It is a happy number.

The square root of 173478914064 is 416508.

It is a perfect power (a square), and thus also a powerful number.

173478914064 is a `hidden beast` number, since 1 + 73 + 478 + 9 + 1 + 40 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118272712464 + 55206201600 = 343908^2 + 234960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 173478914064.

It is not an unprimeable number, because it can be changed into a prime (173478914069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 304883572 + ... + 304884140.

Almost surely, 2^173478914064 is an apocalyptic number.

173478914064 is the 416508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173478914064

173478914064 is an abundant number, since it is smaller than the sum of its proper divisors (320979587655).

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

173478914064 is an frugal number, since it uses more digits than its factorization.

173478914064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 173478914064 in words is "one hundred seventy-three billion, four hundred seventy-eight million, nine hundred fourteen thousand, sixty-four".