18101893455424 has 189 divisors, whose sum is σ = 39663587011377. Its totient is φ = 8195033899008.

The previous prime is 18101893455397. The next prime is 18101893455431. The reversal of 18101893455424 is 42455439810181.

The square root of 18101893455424 is 4254632.

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., 6074647502400 + 12027245953024 = 2464680^2 + 3468032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14874192864 + ... + 14874194080.

Almost surely, 2^{18101893455424} is an apocalyptic number.

18101893455424 is the 4254632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18101893455424

18101893455424 is an abundant number, since it is smaller than the sum of its proper divisors (21561693555953).

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

18101893455424 is an frugal number, since it uses more digits than its factorization.

18101893455424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 55.

The spelling of 18101893455424 in words is "eighteen trillion, one hundred one billion, eight hundred ninety-three million, four hundred fifty-five thousand, four hundred twenty-four".