13645513728000 has 4032 divisors, whose sum is σ = 64904631232896. Its totient is φ = 2724986880000.

The previous prime is 13645513727927. The next prime is 13645513728059. The reversal of 13645513728000 is 82731554631.

It is a happy number.

13645513728000 is a `hidden beast` number, since 1 + 3 + 64 + 5 + 513 + 72 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 203664383967 + ... + 203664384033.

It is an arithmetic number, because the mean of its divisors is an integer number (16097378778).

Almost surely, 2^{13645513728000} is an apocalyptic number.

13645513728000 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 13645513728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32452315616448).

13645513728000 is an abundant number, since it is smaller than the sum of its proper divisors (51259117504896).

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

13645513728000 is a wasteful number, since it uses less digits than its factorization.

13645513728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 13645513728000 in words is "thirteen trillion, six hundred forty-five billion, five hundred thirteen million, seven hundred twenty-eight thousand".