12462388843968 has 896 divisors, whose sum is σ = 46430007459840. Its totient is φ = 3193854935040.

The previous prime is 12462388843963. The next prime is 12462388843997. The reversal of 12462388843968 is 86934888326421.

12462388843968 is a `hidden beast` number, since 1 + 2 + 462 + 3 + 88 + 84 + 3 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×12462388843968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12462388843896 and 12462388843905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12462388843963) 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 127 ways as a sum of consecutive naturals, for example, 1338454033 + ... + 1338463343.

Almost surely, 2^{12462388843968} is an apocalyptic number.

12462388843968 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 12462388843968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23215003729920).

12462388843968 is an abundant number, since it is smaller than the sum of its proper divisors (33967618615872).

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

12462388843968 is a wasteful number, since it uses less digits than its factorization.

12462388843968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9662 (or 9646 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 12462388843968 in words is "twelve trillion, four hundred sixty-two billion, three hundred eighty-eight million, eight hundred forty-three thousand, nine hundred sixty-eight".