173533231872 has 864 divisors, whose sum is σ = 701508648960. Its totient is φ = 41594757120.

The previous prime is 173533231871. The next prime is 173533231957. The reversal of 173533231872 is 278132335371.

173533231872 is a `hidden beast` number, since 1 + 7 + 3 + 533 + 2 + 31 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×173533231872² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (173533231871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48430593 + ... + 48434175.

Almost surely, 2^173533231872 is an apocalyptic number.

173533231872 is a gapful number since it is divisible by the number (12) 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 173533231872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350754324480).

173533231872 is an abundant number, since it is smaller than the sum of its proper divisors (527975417088).

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

173533231872 is a wasteful number, since it uses less digits than its factorization.

173533231872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3619 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 173533231872 in words is "one hundred seventy-three billion, five hundred thirty-three million, two hundred thirty-one thousand, eight hundred seventy-two".