1073241183168 has 2016 divisors, whose sum is σ = 4378465947648. Its totient is φ = 243656294400.

The previous prime is 1073241183167. The next prime is 1073241183193. The reversal of 1073241183168 is 8613811423701.

1073241183168 is a `hidden beast` number, since 1 + 0 + 7 + 324 + 1 + 1 + 8 + 316 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073241183163) 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 287 ways as a sum of consecutive naturals, for example, 14701933980 + ... + 14701934052.

Almost surely, 2^{1073241183168} is an apocalyptic number.

1073241183168 is a gapful number since it is divisible by the number (18) 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 1073241183168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189232973824).

1073241183168 is an abundant number, since it is smaller than the sum of its proper divisors (3305224764480).

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

1073241183168 is a wasteful number, since it uses less digits than its factorization.

1073241183168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1073241183168 in words is "one trillion, seventy-three billion, two hundred forty-one million, one hundred eighty-three thousand, one hundred sixty-eight".