1361408727168 has 384 divisors, whose sum is σ = 4868762670720. Its totient is φ = 356197367808.

The previous prime is 1361408727163. The next prime is 1361408727179. The reversal of 1361408727168 is 8617278041631.

1361408727168 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 408 + 72 + 7 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1361408727168² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1361408727163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4938055 + ... + 5206457.

It is an arithmetic number, because the mean of its divisors is an integer number (12679069455).

Almost surely, 2^{1361408727168} is an apocalyptic number.

1361408727168 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 1361408727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434381335360).

1361408727168 is an abundant number, since it is smaller than the sum of its proper divisors (3507353943552).

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

1361408727168 is a wasteful number, since it uses less digits than its factorization.

1361408727168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268484 (or 268469 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1361408727168 in words is "one trillion, three hundred sixty-one billion, four hundred eight million, seven hundred twenty-seven thousand, one hundred sixty-eight".