1361516982336 has 504 divisors, whose sum is σ = 4932832968960. Its totient is φ = 356638464000.

The previous prime is 1361516982313. The next prime is 1361516982347. The reversal of 1361516982336 is 6332896151631.

1361516982336 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 516 + 98 + 2 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16582986 + ... + 16664886.

Almost surely, 2^{1361516982336} is an apocalyptic number.

1361516982336 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 1361516982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466416484480).

1361516982336 is an abundant number, since it is smaller than the sum of its proper divisors (3571315986624).

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

1361516982336 is a wasteful number, since it uses less digits than its factorization.

1361516982336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81983 (or 81963 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 1361516982336 in words is "one trillion, three hundred sixty-one billion, five hundred sixteen million, nine hundred eighty-two thousand, three hundred thirty-six".