13185841084416 has 3072 divisors, whose sum is σ = 56539084492800. Its totient is φ = 2958274068480.

The previous prime is 13185841084349. The next prime is 13185841084441. The reversal of 13185841084416 is 61448014858131.

13185841084416 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 584 + 1 + 0 + 8 + 44 + 16 = 666.

13185841084416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×13185841084416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 76218734506 + ... + 76218734678.

It is an arithmetic number, because the mean of its divisors is an integer number (18404649900).

Almost surely, 2^{13185841084416} is an apocalyptic number.

13185841084416 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 13185841084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28269542246400).

13185841084416 is an abundant number, since it is smaller than the sum of its proper divisors (43353243408384).

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

13185841084416 is a wasteful number, since it uses less digits than its factorization.

13185841084416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 13185841084416 in words is "thirteen trillion, one hundred eighty-five billion, eight hundred forty-one million, eighty-four thousand, four hundred sixteen".