13223284838400 has 2496 divisors, whose sum is σ = 56186663823360. Its totient is φ = 2669779353600.

The previous prime is 13223284838377. The next prime is 13223284838473. The reversal of 13223284838400 is 483848232231.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×13223284838400² (a number of 27 digits) contains 22 as substring.

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 13223284838400.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95131545531 + ... + 95131545669.

Almost surely, 2^{13223284838400} is an apocalyptic number.

13223284838400 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 13223284838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28093331911680).

13223284838400 is an abundant number, since it is smaller than the sum of its proper divisors (42963378984960).

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

13223284838400 is a wasteful number, since it uses less digits than its factorization.

13223284838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 13223284838400 in words is "thirteen trillion, two hundred twenty-three billion, two hundred eighty-four million, eight hundred thirty-eight thousand, four hundred".