13144719684096 has 2880 divisors, whose sum is σ = 54238716499968. Its totient is φ = 2978021376000.

The previous prime is 13144719684091. The next prime is 13144719684139. The reversal of 13144719684096 is 69048691744131.

13144719684096 is a `hidden beast` number, since 1 + 3 + 1 + 447 + 1 + 9 + 68 + 40 + 96 = 666.

13144719684096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13144719684091) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95946858940 + ... + 95946859076.

Almost surely, 2^{13144719684096} is an apocalyptic number.

13144719684096 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 13144719684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27119358249984).

13144719684096 is an abundant number, since it is smaller than the sum of its proper divisors (41093996815872).

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

13144719684096 is a wasteful number, since it uses less digits than its factorization.

13144719684096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 13144719684096 in words is "thirteen trillion, one hundred forty-four billion, seven hundred nineteen million, six hundred eighty-four thousand, ninety-six".