13578744324096 has 980 divisors, whose sum is σ = 47548304948412. Its totient is φ = 3875544465408.

The previous prime is 13578744324083. The next prime is 13578744324137. The reversal of 13578744324096 is 69042344787531.

13578744324096 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 8 + 74 + 432 + 40 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 14338694695 + ... + 14338695641.

It is a 1-persistent number, because it is pandigital, but 2⋅13578744324096 = 27157488648192 is not.

Almost surely, 2^{13578744324096} is an apocalyptic number.

13578744324096 is a gapful number since it is divisible by the number (16) 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 13578744324096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774152474206).

13578744324096 is an abundant number, since it is smaller than the sum of its proper divisors (33969560624316).

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

13578744324096 is an frugal number, since it uses more digits than its factorization.

13578744324096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 13578744324096 in words is "thirteen trillion, five hundred seventy-eight billion, seven hundred forty-four million, three hundred twenty-four thousand, ninety-six".