18418102665984 has 1152 divisors, whose sum is σ = 65867969986560. Its totient is φ = 4966288588800.

The previous prime is 18418102665973. The next prime is 18418102666063. The reversal of 18418102665984 is 48956620181481.

It is a happy number.

18418102665984 is a `hidden beast` number, since 1 + 8 + 4 + 1 + 8 + 10 + 26 + 6 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×18418102665984³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10329837957 + ... + 10329839739.

It is an arithmetic number, because the mean of its divisors is an integer number (57177057280).

Almost surely, 2^{18418102665984} is an apocalyptic number.

18418102665984 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 18418102665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32933984993280).

18418102665984 is an abundant number, since it is smaller than the sum of its proper divisors (47449867320576).

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

18418102665984 is a wasteful number, since it uses less digits than its factorization.

18418102665984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 18418102665984 in words is "eighteen trillion, four hundred eighteen billion, one hundred two million, six hundred sixty-five thousand, nine hundred eighty-four".