173349448765920 has 864 divisors, whose sum is σ = 722246181576192. Its totient is φ = 37018516727808.

The previous prime is 173349448765901. The next prime is 173349448765921. The reversal of 173349448765920 is 29567844943371.

173349448765920 is a `hidden beast` number, since 1 + 7 + 3 + 3 + 4 + 94 + 487 + 6 + 59 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173349448765921) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 428469967 + ... + 428874353.

It is an arithmetic number, because the mean of its divisors is an integer number (835933080528).

It is a 1-persistent number, because it is pandigital, but 2⋅173349448765920 = 346698897531840 is not.

Almost surely, 2^{173349448765920} is an apocalyptic number.

173349448765920 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 173349448765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361123090788096).

173349448765920 is an abundant number, since it is smaller than the sum of its proper divisors (548896732810272).

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

173349448765920 is a wasteful number, since it uses less digits than its factorization.

173349448765920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404524 (or 404470 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 173349448765920 in words is "one hundred seventy-three trillion, three hundred forty-nine billion, four hundred forty-eight million, seven hundred sixty-five thousand, nine hundred twenty".