18424097468000 has 384 divisors, whose sum is σ = 54010008299520. Its totient is φ = 6039301171200.

The previous prime is 18424097467987. The next prime is 18424097468033. The reversal of 18424097468000 is 86479042481.

It is a super-2 number, since 2×18424097468000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1660870454 + ... + 1660881546.

It is an arithmetic number, because the mean of its divisors is an integer number (140651063280).

Almost surely, 2^{18424097468000} is an apocalyptic number.

18424097468000 is a gapful number since it is divisible by the number (10) 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 18424097468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27005004149760).

18424097468000 is an abundant number, since it is smaller than the sum of its proper divisors (35585910831520).

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

18424097468000 is a wasteful number, since it uses less digits than its factorization.

18424097468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13727 (or 13709 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 18424097468000 in words is "eighteen trillion, four hundred twenty-four billion, ninety-seven million, four hundred sixty-eight thousand".