12463023636864 has 320 divisors, whose sum is σ = 39320999836800. Its totient is φ = 3911668899840.

The previous prime is 12463023636863. The next prime is 12463023636979. The reversal of 12463023636864 is 46863632036421.

12463023636864 is a `hidden beast` number, since 1 + 2 + 46 + 3 + 0 + 236 + 368 + 6 + 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 12463023636864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12463023636863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11368092 + ... + 12416100.

It is an arithmetic number, because the mean of its divisors is an integer number (122878124490).

Almost surely, 2^{12463023636864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12463023636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19660499918400).

12463023636864 is an abundant number, since it is smaller than the sum of its proper divisors (26857976199936).

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

12463023636864 is a wasteful number, since it uses less digits than its factorization.

12463023636864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048103 (or 1048082 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 12463023636864 in words is "twelve trillion, four hundred sixty-three billion, twenty-three million, six hundred thirty-six thousand, eight hundred sixty-four".