13106446444800 has 1944 divisors, whose sum is σ = 51656398466400. Its totient is φ = 3287064084480.

The previous prime is 13106446444727. The next prime is 13106446444807. The reversal of 13106446444800 is 844464460131.

13106446444800 is a `hidden beast` number, since 1 + 3 + 10 + 64 + 464 + 44 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13106446444807) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 73220371111 + ... + 73220371289.

Almost surely, 2^{13106446444800} is an apocalyptic number.

13106446444800 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 13106446444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25828199233200).

13106446444800 is an abundant number, since it is smaller than the sum of its proper divisors (38549952021600).

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

13106446444800 is an equidigital number, since it uses as much as digits as its factorization.

13106446444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 13106446444800 in words is "thirteen trillion, one hundred six billion, four hundred forty-six million, four hundred forty-four thousand, eight hundred".