12354643360416 has 288 divisors, whose sum is σ = 38371418947008. Its totient is φ = 3469570191360.

The previous prime is 12354643360399. The next prime is 12354643360421. The reversal of 12354643360416 is 61406334645321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425523436 + ... + 425552468.

It is an arithmetic number, because the mean of its divisors is an integer number (133234093566).

Almost surely, 2^{12354643360416} is an apocalyptic number.

12354643360416 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 12354643360416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19185709473504).

12354643360416 is an abundant number, since it is smaller than the sum of its proper divisors (26016775586592).

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

12354643360416 is a wasteful number, since it uses less digits than its factorization.

12354643360416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30604 (or 30589 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 12354643360416 in words is "twelve trillion, three hundred fifty-four billion, six hundred forty-three million, three hundred sixty thousand, four hundred sixteen".