13616068642848 has 768 divisors, whose sum is σ = 47252549836800. Its totient is φ = 3733913272320.

The previous prime is 13616068642843. The next prime is 13616068642849. The reversal of 13616068642848 is 84824686061631.

It is a happy number.

13616068642848 is a `hidden beast` number, since 1 + 3 + 6 + 160 + 6 + 8 + 6 + 428 + 48 = 666.

It is a super-2 number, since 2×13616068642848² (a number of 27 digits) contains 22 as substring.

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 (13616068642843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6517982988 + ... + 6517985076.

It is an arithmetic number, because the mean of its divisors is an integer number (61526757600).

Almost surely, 2^{13616068642848} is an apocalyptic number.

13616068642848 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 13616068642848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23626274918400).

13616068642848 is an abundant number, since it is smaller than the sum of its proper divisors (33636481193952).

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

13616068642848 is a wasteful number, since it uses less digits than its factorization.

13616068642848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 13616068642848 in words is "thirteen trillion, six hundred sixteen billion, sixty-eight million, six hundred forty-two thousand, eight hundred forty-eight".