1381205903616 has 1728 divisors, whose sum is σ = 5502905856000. Its totient is φ = 341432340480.

The previous prime is 1381205903587. The next prime is 1381205903633. The reversal of 1381205903616 is 6163095021831.

1381205903616 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 20 + 5 + 9 + 0 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×1381205903616³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6940733085 + ... + 6940733283.

It is an arithmetic number, because the mean of its divisors is an integer number (3184552000).

Almost surely, 2^{1381205903616} is an apocalyptic number.

1381205903616 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 1381205903616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751452928000).

1381205903616 is an abundant number, since it is smaller than the sum of its proper divisors (4121699952384).

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

1381205903616 is an equidigital number, since it uses as much as digits as its factorization.

1381205903616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1381205903616 in words is "one trillion, three hundred eighty-one billion, two hundred five million, nine hundred three thousand, six hundred sixteen".