12634847979936 has 1536 divisors, whose sum is σ = 45321981788160. Its totient is φ = 2990056882176.

The previous prime is 12634847979913. The next prime is 12634847979961. The reversal of 12634847979936 is 63997974843621.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48041246941 + ... + 48041247203.

It is an arithmetic number, because the mean of its divisors is an integer number (29506498560).

Almost surely, 2^{12634847979936} is an apocalyptic number.

12634847979936 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 12634847979936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22660990894080).

12634847979936 is an abundant number, since it is smaller than the sum of its proper divisors (32687133808224).

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

12634847979936 is a wasteful number, since it uses less digits than its factorization.

12634847979936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its digits is 2962842624, while the sum is 78.

The spelling of 12634847979936 in words is "twelve trillion, six hundred thirty-four billion, eight hundred forty-seven million, nine hundred seventy-nine thousand, nine hundred thirty-six".