1381508606016 has 2016 divisors, whose sum is σ = 5619595161600. Its totient is φ = 330511104000.

The previous prime is 1381508606003. The next prime is 1381508606059. The reversal of 1381508606016 is 6106068051831.

1381508606016 is a `hidden beast` number, since 1 + 3 + 81 + 508 + 6 + 0 + 60 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1381508606016² (a number of 25 digits) contains 22 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 287 ways as a sum of consecutive naturals, for example, 9149063541 + ... + 9149063691.

It is an arithmetic number, because the mean of its divisors is an integer number (2787497600).

Almost surely, 2^{1381508606016} is an apocalyptic number.

1381508606016 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 1381508606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809797580800).

1381508606016 is an abundant number, since it is smaller than the sum of its proper divisors (4238086555584).

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

1381508606016 is a wasteful number, since it uses less digits than its factorization.

1381508606016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 240 counting only the distinct ones).

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

The spelling of 1381508606016 in words is "one trillion, three hundred eighty-one billion, five hundred eight million, six hundred six thousand, sixteen".