13653378672768 has 320 divisors, whose sum is σ = 41029303696920. Its totient is φ = 4506725744640.

The previous prime is 13653378672677. The next prime is 13653378672803. The reversal of 13653378672768 is 86727687335631.

It is a happy number.

13653378672768 is a `hidden beast` number, since 1 + 3 + 6 + 533 + 7 + 8 + 6 + 7 + 27 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8331351142464 + 5322027530304 = 2886408^2 + 2306952^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13653378672696 and 13653378672705.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1449244698 + ... + 1449254118.

Almost surely, 2^{13653378672768} is an apocalyptic number.

13653378672768 is a gapful number since it is divisible by the number (18) 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 13653378672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20514651848460).

13653378672768 is an abundant number, since it is smaller than the sum of its proper divisors (27375925024152).

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

13653378672768 is a wasteful number, since it uses less digits than its factorization.

13653378672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10797 (or 10776 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 72.

The spelling of 13653378672768 in words is "thirteen trillion, six hundred fifty-three billion, three hundred seventy-eight million, six hundred seventy-two thousand, seven hundred sixty-eight".