1361693074336 has 144 divisors (see below), whose sum is σ = 3423761804736. Its totient is φ = 520345700352.

The previous prime is 1361693074331. The next prime is 1361693074363. The reversal of 1361693074336 is 6334703961631.

It is not an unprimeable number, because it can be changed into a prime (1361693074331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 879415 + ... + 1869961.

It is an arithmetic number, because the mean of its divisors is an integer number (23776123644).

Almost surely, 2^{1361693074336} is an apocalyptic number.

1361693074336 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 1361693074336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711880902368).

1361693074336 is an abundant number, since it is smaller than the sum of its proper divisors (2062068730400).

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

1361693074336 is a wasteful number, since it uses less digits than its factorization.

1361693074336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990619 (or 990592 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 52.

The spelling of 1361693074336 in words is "one trillion, three hundred sixty-one billion, six hundred ninety-three million, seventy-four thousand, three hundred thirty-six".