12634022016 has 288 divisors, whose sum is σ = 46138276080. Its totient is φ = 3281402880.

The previous prime is 12634021993. The next prime is 12634022029. The reversal of 12634022016 is 61022043621.

12634022016 is a `hidden beast` number, since 1 + 2 + 634 + 0 + 2 + 20 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 610755 + ... + 631101.

Almost surely, 2^12634022016 is an apocalyptic number.

12634022016 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 12634022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23069138040).

12634022016 is an abundant number, since it is smaller than the sum of its proper divisors (33504254064).

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

12634022016 is a wasteful number, since it uses less digits than its factorization.

12634022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20392 (or 20370 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12634022016 its reverse (61022043621), we get a palindrome (73656065637).

The spelling of 12634022016 in words is "twelve billion, six hundred thirty-four million, twenty-two thousand, sixteen".