1356019112448 has 960 divisors, whose sum is σ = 5563988381952. Its totient is φ = 305977098240.

The previous prime is 1356019112443. The next prime is 1356019112479. The reversal of 1356019112448 is 8442119106531.

1356019112448 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 0 + 191 + 12 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (1356019112443) 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 95 ways as a sum of consecutive naturals, for example, 78405690 + ... + 78422982.

Almost surely, 2^{1356019112448} is an apocalyptic number.

1356019112448 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 1356019112448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781994190976).

1356019112448 is an abundant number, since it is smaller than the sum of its proper divisors (4207969269504).

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

1356019112448 is a wasteful number, since it uses less digits than its factorization.

1356019112448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17365 (or 17346 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1356019112448 in words is "one trillion, three hundred fifty-six billion, nineteen million, one hundred twelve thousand, four hundred forty-eight".