13623231206400 has 264 divisors, whose sum is σ = 45349448595360. Its totient is φ = 3606723133440.

The previous prime is 13623231206317. The next prime is 13623231206441. The reversal of 13623231206400 is 460213232631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10037122 + ... + 11313278.

Almost surely, 2^{13623231206400} is an apocalyptic number.

13623231206400 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 13623231206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22674724297680).

13623231206400 is an abundant number, since it is smaller than the sum of its proper divisors (31726217388960).

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

13623231206400 is a wasteful number, since it uses less digits than its factorization.

13623231206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276329 (or 1276306 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 13623231206400 in words is "thirteen trillion, six hundred twenty-three billion, two hundred thirty-one million, two hundred six thousand, four hundred".