13155483534336 has 792 divisors, whose sum is σ = 47611100241432. Its totient is φ = 3463328563200.

The previous prime is 13155483534299. The next prime is 13155483534451. The reversal of 13155483534336 is 63343538455131.

13155483534336 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 548 + 3 + 53 + 43 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 256927334400 + 12898556199936 = 506880^2 + 3591456^2 .

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×13155483534336² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 246418366 + ... + 246471746.

Almost surely, 2^{13155483534336} is an apocalyptic number.

13155483534336 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 13155483534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23805550120716).

13155483534336 is an abundant number, since it is smaller than the sum of its proper divisors (34455616707096).

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

13155483534336 is a wasteful number, since it uses less digits than its factorization.

13155483534336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53459 (or 53427 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 54.

The spelling of 13155483534336 in words is "thirteen trillion, one hundred fifty-five billion, four hundred eighty-three million, five hundred thirty-four thousand, three hundred thirty-six".