13447323926400 has 3072 divisors, whose sum is σ = 58556152166400. Its totient is φ = 2637221068800.

The previous prime is 13447323926383. The next prime is 13447323926423. The reversal of 13447323926400 is 462932374431.

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 13447323926400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 96743337531 + ... + 96743337669.

It is an arithmetic number, because the mean of its divisors is an integer number (19061247450).

Almost surely, 2^{13447323926400} is an apocalyptic number.

13447323926400 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 13447323926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29278076083200).

13447323926400 is an abundant number, since it is smaller than the sum of its proper divisors (45108828240000).

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

13447323926400 is a wasteful number, since it uses less digits than its factorization.

13447323926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 13447323926400 in words is "thirteen trillion, four hundred forty-seven billion, three hundred twenty-three million, nine hundred twenty-six thousand, four hundred".