4068547180096 has 189 divisors, whose sum is σ = 9491518678977. Its totient is φ = 1725315863040.

The previous prime is 4068547180043. The next prime is 4068547180123. The reversal of 4068547180096 is 6900817458604.

The square root of 4068547180096 is 2017064.

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

It can be written as a sum of positive squares in only one way, i.e., 44832133696 + 4023715046400 = 211736^2 + 2005920^2 .

It is a super-2 number, since 2×4068547180096² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4068547180096.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 20444960605 + ... + 20444960803.

Almost surely, 2^{4068547180096} is an apocalyptic number.

4068547180096 is the 2017064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4068547180096

4068547180096 is an abundant number, since it is smaller than the sum of its proper divisors (5422971498881).

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

4068547180096 is an frugal number, since it uses more digits than its factorization.

4068547180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 4068547180096 in words is "four trillion, sixty-eight billion, five hundred forty-seven million, one hundred eighty thousand, ninety-six".