1350103337856 has 1536 divisors, whose sum is σ = 5242683801600. Its totient is φ = 338610585600.

The previous prime is 1350103337831. The next prime is 1350103337857. The reversal of 1350103337856 is 6587333010531.

1350103337856 is a `hidden beast` number, since 1 + 3 + 501 + 0 + 33 + 37 + 85 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350103337857) 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 191 ways as a sum of consecutive naturals, for example, 4981931001 + ... + 4981931271.

It is an arithmetic number, because the mean of its divisors is an integer number (3413205600).

Almost surely, 2^{1350103337856} is an apocalyptic number.

1350103337856 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 1350103337856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621341900800).

1350103337856 is an abundant number, since it is smaller than the sum of its proper divisors (3892580463744).

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

1350103337856 is a wasteful number, since it uses less digits than its factorization.

1350103337856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 1350103337856 in words is "one trillion, three hundred fifty billion, one hundred three million, three hundred thirty-seven thousand, eight hundred fifty-six".