18245353146384 has 1280 divisors, whose sum is σ = 62915973120000. Its totient is φ = 4428023169024.

The previous prime is 18245353146347. The next prime is 18245353146389. The reversal of 18245353146384 is 48364135354281.

It is a super-2 number, since 2×18245353146384² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18245353146389) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46903221262 + ... + 46903221650.

It is an arithmetic number, because the mean of its divisors is an integer number (49153104000).

Almost surely, 2^{18245353146384} is an apocalyptic number.

18245353146384 is a gapful number since it is divisible by the number (14) 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 18245353146384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31457986560000).

18245353146384 is an abundant number, since it is smaller than the sum of its proper divisors (44670619973616).

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

18245353146384 is a wasteful number, since it uses less digits than its factorization.

18245353146384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 57.

The spelling of 18245353146384 in words is "eighteen trillion, two hundred forty-five billion, three hundred fifty-three million, one hundred forty-six thousand, three hundred eighty-four".