12359946816 has 560 divisors, whose sum is σ = 44611015680. Its totient is φ = 3307392000.

The previous prime is 12359946773. The next prime is 12359946821. The reversal of 12359946816 is 61864995321.

12359946816 is a `hidden beast` number, since 1 + 2 + 3 + 599 + 46 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49242691 + ... + 49242941.

It is an arithmetic number, because the mean of its divisors is an integer number (79662528).

Almost surely, 2^12359946816 is an apocalyptic number.

12359946816 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 12359946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22305507840).

12359946816 is an abundant number, since it is smaller than the sum of its proper divisors (32251068864).

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

12359946816 is a wasteful number, since it uses less digits than its factorization.

12359946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 345 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 12359946816 in words is "twelve billion, three hundred fifty-nine million, nine hundred forty-six thousand, eight hundred sixteen".