18054981571968 has 512 divisors, whose sum is σ = 58757440435200. Its totient is φ = 5412609146880.

The previous prime is 18054981571897. The next prime is 18054981572063. The reversal of 18054981571968 is 86917518945081.

18054981571968 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 49 + 8 + 1 + 571 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18054981571896 and 18054981571905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390656805 + ... + 1390669787.

It is an arithmetic number, because the mean of its divisors is an integer number (114760625850).

Almost surely, 2^{18054981571968} is an apocalyptic number.

18054981571968 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 18054981571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29378720217600).

18054981571968 is an abundant number, since it is smaller than the sum of its proper divisors (40702458863232).

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

18054981571968 is a wasteful number, since it uses less digits than its factorization.

18054981571968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13407 (or 13389 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 72.

The spelling of 18054981571968 in words is "eighteen trillion, fifty-four billion, nine hundred eighty-one million, five hundred seventy-one thousand, nine hundred sixty-eight".