12618946400 has 72 divisors (see below), whose sum is σ = 30862399680. Its totient is φ = 5038338560.

The previous prime is 12618946381. The next prime is 12618946423. The reversal of 12618946400 is 464981621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431441 + ... + 459759.

It is an arithmetic number, because the mean of its divisors is an integer number (428644440).

Almost surely, 2^12618946400 is an apocalyptic number.

12618946400 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 12618946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15431199840).

12618946400 is an abundant number, since it is smaller than the sum of its proper divisors (18243453280).

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

12618946400 is a wasteful number, since it uses less digits than its factorization.

12618946400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28896 (or 28883 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 12618946400 in words is "twelve billion, six hundred eighteen million, nine hundred forty-six thousand, four hundred".