17968752144 has 120 divisors (see below), whose sum is σ = 57501587520. Its totient is φ = 5131240704.

The previous prime is 17968752121. The next prime is 17968752149. The reversal of 17968752144 is 44125786971.

17968752144 is a `hidden beast` number, since 1 + 79 + 6 + 8 + 7 + 521 + 44 = 666.

It is a super-2 number, since 2×17968752144² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (17968752149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2695087 + ... + 2701745.

It is an arithmetic number, because the mean of its divisors is an integer number (479179896).

Almost surely, 2^17968752144 is an apocalyptic number.

17968752144 is a gapful number since it is divisible by the number (14) 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 17968752144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28750793760).

17968752144 is an abundant number, since it is smaller than the sum of its proper divisors (39532835376).

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

17968752144 is a wasteful number, since it uses less digits than its factorization.

17968752144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9357 (or 9348 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 17968752144 in words is "seventeen billion, nine hundred sixty-eight million, seven hundred fifty-two thousand, one hundred forty-four".