12346916400 has 960 divisors, whose sum is σ = 57346329600. Its totient is φ = 2448506880.

The previous prime is 12346916381. The next prime is 12346916429. The reversal of 12346916400 is 461964321.

12346916400 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 6 + 9 + 1 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16707231 + ... + 16707969.

It is an arithmetic number, because the mean of its divisors is an integer number (59735760).

Almost surely, 2^12346916400 is an apocalyptic number.

12346916400 is a gapful number since it is divisible by the number (10) 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 12346916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28673164800).

12346916400 is an abundant number, since it is smaller than the sum of its proper divisors (44999413200).

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

12346916400 is a wasteful number, since it uses less digits than its factorization.

12346916400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12346916400 in words is "twelve billion, three hundred forty-six million, nine hundred sixteen thousand, four hundred".