18993419124736 has 279 divisors, whose sum is σ = 46636902361899. Its totient is φ = 7711613779968.

The previous prime is 18993419124697. The next prime is 18993419124739. The reversal of 18993419124736 is 63742191439981.

The square root of 18993419124736 is 4358144.

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

Its product of digits (70543872) is a multiple of the sum of its prime divisors (28).

It is not an unprimeable number, because it can be changed into a prime (18993419124739) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 999653638135 + ... + 999653638153.

Almost surely, 2^{18993419124736} is an apocalyptic number.

18993419124736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18993419124736 is the 4358144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18993419124736

18993419124736 is an abundant number, since it is smaller than the sum of its proper divisors (27643483237163).

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

18993419124736 is an frugal number, since it uses more digits than its factorization.

18993419124736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 28 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 67.

It can be divided in two parts, 18993 and 419124736, that added together give a square (419143729 = 20473²).

The spelling of 18993419124736 in words is "eighteen trillion, nine hundred ninety-three billion, four hundred nineteen million, one hundred twenty-four thousand, seven hundred thirty-six".