12438614217216 has 640 divisors, whose sum is σ = 40076990908416. Its totient is φ = 3381708718080.

The previous prime is 12438614217203. The next prime is 12438614217229. The reversal of 12438614217216 is 61271241683421.

It is an interprime number because it is at equal distance from previous prime (12438614217203) and next prime (12438614217229).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2028142086 + ... + 2028148218.

Almost surely, 2^{12438614217216} is an apocalyptic number.

12438614217216 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 12438614217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20038495454208).

12438614217216 is an abundant number, since it is smaller than the sum of its proper divisors (27638376691200).

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

12438614217216 is a wasteful number, since it uses less digits than its factorization.

12438614217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6496 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The spelling of 12438614217216 in words is "twelve trillion, four hundred thirty-eight billion, six hundred fourteen million, two hundred seventeen thousand, two hundred sixteen".