1361082297792 has 336 divisors, whose sum is σ = 4446168318720. Its totient is φ = 359795785728.

The previous prime is 1361082297791. The next prime is 1361082297797. The reversal of 1361082297792 is 2977922801631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361082297791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22886848 + ... + 22946240.

Almost surely, 2^{1361082297792} is an apocalyptic number.

1361082297792 is a gapful number since it is divisible by the number (12) 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 1361082297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223084159360).

1361082297792 is an abundant number, since it is smaller than the sum of its proper divisors (3085086020928).

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

1361082297792 is a wasteful number, since it uses less digits than its factorization.

1361082297792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59508 (or 59481 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 1361082297792 in words is "one trillion, three hundred sixty-one billion, eighty-two million, two hundred ninety-seven thousand, seven hundred ninety-two".