13224748824000 has 560 divisors, whose sum is σ = 55913697428160. Its totient is φ = 3022798694400.

The previous prime is 13224748823927. The next prime is 13224748824017. The reversal of 13224748824000 is 42884742231.

13224748824000 is a `hidden beast` number, since 1 + 322 + 4 + 7 + 4 + 88 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3078246 + ... + 5993754.

Almost surely, 2^{13224748824000} is an apocalyptic number.

13224748824000 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 13224748824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27956848714080).

13224748824000 is an abundant number, since it is smaller than the sum of its proper divisors (42688948604160).

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

13224748824000 is an equidigital number, since it uses as much as digits as its factorization.

13224748824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915555 (or 2915526 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 13224748824000 in words is "thirteen trillion, two hundred twenty-four billion, seven hundred forty-eight million, eight hundred twenty-four thousand".