12016746338688 has 384 divisors, whose sum is σ = 42820470900480. Its totient is φ = 3149804040192.

The previous prime is 12016746338659. The next prime is 12016746338699. The reversal of 12016746338688 is 88683364761021.

12016746338688 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 67 + 463 + 38 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12016746338688² (a number of 27 digits) contains 22 as substring.

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

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, 16735995 + ... + 17439237.

It is an arithmetic number, because the mean of its divisors is an integer number (111511642970).

Almost surely, 2^{12016746338688} is an apocalyptic number.

12016746338688 is a gapful number since it is divisible by the number (18) 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 12016746338688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21410235450240).

12016746338688 is an abundant number, since it is smaller than the sum of its proper divisors (30803724561792).

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

12016746338688 is a wasteful number, since it uses less digits than its factorization.

12016746338688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703446 (or 703431 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 12016746338688 in words is "twelve trillion, sixteen billion, seven hundred forty-six million, three hundred thirty-eight thousand, six hundred eighty-eight".