18114017539464 has 1152 divisors, whose sum is σ = 64949969335680. Its totient is φ = 4506447052800.

The previous prime is 18114017539337. The next prime is 18114017539469. The reversal of 18114017539464 is 46493571041181.

18114017539464 is a `hidden beast` number, since 1 + 8 + 1 + 1 + 4 + 0 + 175 + 3 + 9 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18114017539464.

It is not an unprimeable number, because it can be changed into a prime (18114017539469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29358212884 + ... + 29358213500.

It is an arithmetic number, because the mean of its divisors is an integer number (56380181715).

Almost surely, 2^{18114017539464} is an apocalyptic number.

18114017539464 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 18114017539464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32474984667840).

18114017539464 is an abundant number, since it is smaller than the sum of its proper divisors (46835951796216).

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

18114017539464 is a wasteful number, since it uses less digits than its factorization.

18114017539464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 18114017539464 in words is "eighteen trillion, one hundred fourteen billion, seventeen million, five hundred thirty-nine thousand, four hundred sixty-four".