13469123740800 has 1536 divisors, whose sum is σ = 55436766819840. Its totient is φ = 2798714880000.

The previous prime is 13469123740799. The next prime is 13469123740867. The reversal of 13469123740800 is 804732196431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13469123740800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25852444540 + ... + 25852445060.

It is an arithmetic number, because the mean of its divisors is an integer number (36091645065).

Almost surely, 2^{13469123740800} is an apocalyptic number.

13469123740800 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 13469123740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27718383409920).

13469123740800 is an abundant number, since it is smaller than the sum of its proper divisors (41967643079040).

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

13469123740800 is a wasteful number, since it uses less digits than its factorization.

13469123740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 13469123740800 in words is "thirteen trillion, four hundred sixty-nine billion, one hundred twenty-three million, seven hundred forty thousand, eight hundred".