12636001262016 has 252 divisors, whose sum is σ = 41094990069952. Its totient is φ = 3705571584000.

The previous prime is 12636001261997. The next prime is 12636001262023. The reversal of 12636001262016 is 61026210063621.

12636001262016 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 6 + 0 + 0 + 12 + 620 + 16 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 763645 + ... + 5084796.

Almost surely, 2^{12636001262016} is an apocalyptic number.

12636001262016 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 12636001262016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547495034976).

12636001262016 is an abundant number, since it is smaller than the sum of its proper divisors (28458988807936).

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

12636001262016 is a wasteful number, since it uses less digits than its factorization.

12636001262016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848512 (or 5848488 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12636001262016 in words is "twelve trillion, six hundred thirty-six billion, one million, two hundred sixty-two thousand, sixteen".