18042905664 has 336 divisors, whose sum is σ = 62827180416. Its totient is φ = 4832870400.

The previous prime is 18042905641. The next prime is 18042905677. The reversal of 18042905664 is 46650924081.

18042905664 is a `hidden beast` number, since 1 + 80 + 4 + 2 + 9 + 0 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31598499 + ... + 31599069.

It is an arithmetic number, because the mean of its divisors is an integer number (186985656).

Almost surely, 2^18042905664 is an apocalyptic number.

18042905664 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 18042905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31413590208).

18042905664 is an abundant number, since it is smaller than the sum of its proper divisors (44784274752).

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

18042905664 is a wasteful number, since it uses less digits than its factorization.

18042905664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 18042905664 in words is "eighteen billion, forty-two million, nine hundred five thousand, six hundred sixty-four".