1361016448128 has 192 divisors, whose sum is σ = 3990928500000. Its totient is φ = 445077946368.

The previous prime is 1361016448093. The next prime is 1361016448189. The reversal of 1361016448128 is 8218446101631.

1361016448128 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 0 + 164 + 481 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33895968 + ... + 33936096.

Almost surely, 2^{1361016448128} is an apocalyptic number.

1361016448128 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 1361016448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995464250000).

1361016448128 is an abundant number, since it is smaller than the sum of its proper divisors (2629912051872).

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

1361016448128 is a wasteful number, since it uses less digits than its factorization.

1361016448128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40707 (or 40692 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1361016448128 in words is "one trillion, three hundred sixty-one billion, sixteen million, four hundred forty-eight thousand, one hundred twenty-eight".