12412318954464 has 384 divisors, whose sum is σ = 42883275778560. Its totient is φ = 3471973148160.

The previous prime is 12412318954463. The next prime is 12412318954501. The reversal of 12412318954464 is 46445981321421.

12412318954464 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 2 + 31 + 8 + 9 + 544 + 64 = 666.

It is a super-2 number, since 2×12412318954464² (a number of 27 digits) contains 22 as substring.

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 12412318954464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412318954463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14534659 + ... + 15364925.

It is an arithmetic number, because the mean of its divisors is an integer number (111675197340).

Almost surely, 2^{12412318954464} 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 12412318954464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21441637889280).

12412318954464 is an abundant number, since it is smaller than the sum of its proper divisors (30470956824096).

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

12412318954464 is a wasteful number, since it uses less digits than its factorization.

12412318954464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830332 (or 830296 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 12412318954464 in words is "twelve trillion, four hundred twelve billion, three hundred eighteen million, nine hundred fifty-four thousand, four hundred sixty-four".