18466002266112 has 768 divisors, whose sum is σ = 58118860800000. Its totient is φ = 5781332164608.

The previous prime is 18466002265979. The next prime is 18466002266177. The reversal of 18466002266112 is 21166220066481.

It is a happy number.

18466002266112 is a `hidden beast` number, since 1 + 8 + 4 + 6 + 6 + 0 + 0 + 2 + 26 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24013006464 + ... + 24013007232.

It is an arithmetic number, because the mean of its divisors is an integer number (75675600000).

Almost surely, 2^{18466002266112} is an apocalyptic number.

18466002266112 is a gapful number since it is divisible by the number (12) 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 18466002266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29059430400000).

18466002266112 is an abundant number, since it is smaller than the sum of its proper divisors (39652858533888).

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

18466002266112 is a wasteful number, since it uses less digits than its factorization.

18466002266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 18466002266112 in words is "eighteen trillion, four hundred sixty-six billion, two million, two hundred sixty-six thousand, one hundred twelve".