18364364854560 has 336 divisors, whose sum is σ = 65656939715136. Its totient is φ = 4851392776704.

The previous prime is 18364364854541. The next prime is 18364364854571. The reversal of 18364364854560 is 6545846346381.

18364364854560 is a `hidden beast` number, since 1 + 8 + 3 + 6 + 4 + 3 + 64 + 8 + 5 + 4 + 560 = 666.

It is a super-2 number, since 2×18364364854560² (a number of 27 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 11744757 + ... + 13216203.

It is an arithmetic number, because the mean of its divisors is an integer number (195407558676).

Almost surely, 2^{18364364854560} is an apocalyptic number.

18364364854560 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 18364364854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32828469857568).

18364364854560 is an abundant number, since it is smaller than the sum of its proper divisors (47292574860576).

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

18364364854560 is a wasteful number, since it uses less digits than its factorization.

18364364854560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471587 (or 1471564 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 18364364854560 in words is "eighteen trillion, three hundred sixty-four billion, three hundred sixty-four million, eight hundred fifty-four thousand, five hundred sixty".