18927824743008 has 144 divisors (see below), whose sum is σ = 54862236950976. Its totient is φ = 6187901091840.

The previous prime is 18927824742887. The next prime is 18927824743021. The reversal of 18927824743008 is 80034742872981.

18927824743008 is a `hidden beast` number, since 1 + 8 + 92 + 78 + 2 + 47 + 430 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×18927824743008² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40538016 + ... + 41002272.

It is an arithmetic number, because the mean of its divisors is an integer number (380987756604).

Almost surely, 2^{18927824743008} is an apocalyptic number.

18927824743008 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 18927824743008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27431118475488).

18927824743008 is an abundant number, since it is smaller than the sum of its proper divisors (35934412207968).

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

18927824743008 is a wasteful number, since it uses less digits than its factorization.

18927824743008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466997 (or 466986 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 18927824743008 in words is "eighteen trillion, nine hundred twenty-seven billion, eight hundred twenty-four million, seven hundred forty-three thousand, eight".