13226453452800 has 4032 divisors, whose sum is σ = 61378951495680. Its totient is φ = 2759049216000.

The previous prime is 13226453452789. The next prime is 13226453452813. The reversal of 13226453452800 is 825435462231.

13226453452800 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 64 + 534 + 52 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 186288076765 + ... + 186288076835.

It is an arithmetic number, because the mean of its divisors is an integer number (15222954240).

Almost surely, 2^{13226453452800} is an apocalyptic number.

13226453452800 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 13226453452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30689475747840).

13226453452800 is an abundant number, since it is smaller than the sum of its proper divisors (48152498042880).

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

13226453452800 is an equidigital number, since it uses as much as digits as its factorization.

13226453452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 13226453452800 in words is "thirteen trillion, two hundred twenty-six billion, four hundred fifty-three million, four hundred fifty-two thousand, eight hundred".