13412145600 has 1008 divisors, whose sum is σ = 58960512000. Its totient is φ = 2823413760.

The previous prime is 13412145557. The next prime is 13412145611. The reversal of 13412145600 is 654121431.

It is a happy number.

13412145600 is a `hidden beast` number, since 1 + 3 + 4 + 12 + 1 + 45 + 600 = 666.

13412145600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90014326 + ... + 90014474.

Almost surely, 2^13412145600 is an apocalyptic number.

13412145600 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 13412145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29480256000).

13412145600 is an abundant number, since it is smaller than the sum of its proper divisors (45548366400).

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

13412145600 is a wasteful number, since it uses less digits than its factorization.

13412145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

It can be divided in two parts, 1341 and 2145600, that multiplied together give a square (2877249600 = 53640²).

The spelling of 13412145600 in words is "thirteen billion, four hundred twelve million, one hundred forty-five thousand, six hundred".