13399248496800 has 288 divisors, whose sum is σ = 45838281162240. Its totient is φ = 3393189043200.

The previous prime is 13399248496747. The next prime is 13399248496807. The reversal of 13399248496800 is 869484299331.

It is a super-2 number, since 2×13399248496800² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13399248496807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6799635 + ... + 8545965.

It is an arithmetic number, because the mean of its divisors is an integer number (159160698480).

Almost surely, 2^{13399248496800} is an apocalyptic number.

13399248496800 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 13399248496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22919140581120).

13399248496800 is an abundant number, since it is smaller than the sum of its proper divisors (32439032665440).

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

13399248496800 is a wasteful number, since it uses less digits than its factorization.

13399248496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746516 (or 1746503 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 66.

The spelling of 13399248496800 in words is "thirteen trillion, three hundred ninety-nine billion, two hundred forty-eight million, four hundred ninety-six thousand, eight hundred".