13012618444800 has 1152 divisors, whose sum is σ = 48697410041280. Its totient is φ = 3044058071040.

The previous prime is 13012618444717. The next prime is 13012618444807. The reversal of 13012618444800 is 844481621031.

It is not an unprimeable number, because it can be changed into a prime (13012618444807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302619033579 + ... + 302619033621.

Almost surely, 2^{13012618444800} is an apocalyptic number.

13012618444800 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 13012618444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24348705020640).

13012618444800 is an abundant number, since it is smaller than the sum of its proper divisors (35684791596480).

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

13012618444800 is an frugal number, since it uses more digits than its factorization.

13012618444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 13012618444800 in words is "thirteen trillion, twelve billion, six hundred eighteen million, four hundred forty-four thousand, eight hundred".