12416688406584 has 1920 divisors, whose sum is σ = 47888971891200. Its totient is φ = 2971072742400.

The previous prime is 12416688406559. The next prime is 12416688406601. The reversal of 12416688406584 is 48560488661421.

It is a happy number.

12416688406584 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 6 + 6 + 8 + 8 + 40 + 6 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 170091621972 + ... + 170091622044.

It is an arithmetic number, because the mean of its divisors is an integer number (24942172860).

Almost surely, 2^{12416688406584} is an apocalyptic number.

12416688406584 is a gapful number since it is divisible by the number (14) 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 12416688406584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23944485945600).

12416688406584 is an abundant number, since it is smaller than the sum of its proper divisors (35472283484616).

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

12416688406584 is a wasteful number, since it uses less digits than its factorization.

12416688406584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 12416688406584 in words is "twelve trillion, four hundred sixteen billion, six hundred eighty-eight million, four hundred six thousand, five hundred eighty-four".