1603328361408 has 224 divisors, whose sum is σ = 5253425510400. Its totient is φ = 476530864128.

The previous prime is 1603328361367. The next prime is 1603328361419. The reversal of 1603328361408 is 8041638233061.

1603328361408 is a `hidden beast` number, since 1 + 6 + 0 + 3 + 3 + 28 + 3 + 614 + 0 + 8 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 878160 + ... + 1994447.

Almost surely, 2^{1603328361408} is an apocalyptic number.

1603328361408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1603328361408 is an abundant number, since it is smaller than the sum of its proper divisors (3650097148992).

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

1603328361408 is a wasteful number, since it uses less digits than its factorization.

1603328361408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872664 (or 2872648 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1603328361408 in words is "one trillion, six hundred three billion, three hundred twenty-eight million, three hundred sixty-one thousand, four hundred eight".