12018436416 has 336 divisors, whose sum is σ = 42324137856. Its totient is φ = 3182395392.

The previous prime is 12018436393. The next prime is 12018436427. The reversal of 12018436416 is 61463481021.

12018436416 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 8 + 4 + 3 + 641 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4591140 + ... + 4593756.

It is an arithmetic number, because the mean of its divisors is an integer number (125964696).

Almost surely, 2^12018436416 is an apocalyptic number.

12018436416 is a gapful number since it is divisible by the number (16) 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 12018436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162068928).

12018436416 is an abundant number, since it is smaller than the sum of its proper divisors (30305701440).

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

12018436416 is a wasteful number, since it uses less digits than its factorization.

12018436416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12018436416 in words is "twelve billion, eighteen million, four hundred thirty-six thousand, four hundred sixteen".