1367163128448 has 256 divisors, whose sum is σ = 4347961833600. Its totient is φ = 420419248128.

The previous prime is 1367163128423. The next prime is 1367163128467. The reversal of 1367163128448 is 8448213617631.

1367163128448 is a `hidden beast` number, since 1 + 3 + 6 + 71 + 6 + 3 + 128 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1367163128394 and 1367163128403.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 85939311 + ... + 85955217.

Almost surely, 2^{1367163128448} is an apocalyptic number.

1367163128448 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 1367163128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173980916800).

1367163128448 is an abundant number, since it is smaller than the sum of its proper divisors (2980798705152).

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

1367163128448 is a wasteful number, since it uses less digits than its factorization.

1367163128448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17856 (or 17838 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 1367163128448 in words is "one trillion, three hundred sixty-seven billion, one hundred sixty-three million, one hundred twenty-eight thousand, four hundred forty-eight".