12018790736064 has 280 divisors, whose sum is σ = 40733336404640. Its totient is φ = 3432570753024.

The previous prime is 12018790736059. The next prime is 12018790736077. The reversal of 12018790736064 is 46063709781021.

12018790736064 is a `hidden beast` number, since 1 + 20 + 1 + 8 + 7 + 9 + 0 + 7 + 3 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12018790736064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92723652 + ... + 92853180.

Almost surely, 2^{12018790736064} is an apocalyptic number.

12018790736064 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 12018790736064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20366668202320).

12018790736064 is an abundant number, since it is smaller than the sum of its proper divisors (28714545668576).

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

12018790736064 is a wasteful number, since it uses less digits than its factorization.

12018790736064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132117 (or 132098 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 12018790736064 in words is "twelve trillion, eighteen billion, seven hundred ninety million, seven hundred thirty-six thousand, sixty-four".