1361121831576 has 256 divisors, whose sum is σ = 4153270464000. Its totient is φ = 410437946880.

The previous prime is 1361121831521. The next prime is 1361121831611. The reversal of 1361121831576 is 6751381211631.

1361121831576 is a `hidden beast` number, since 1 + 3 + 61 + 1 + 2 + 18 + 3 + 1 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144503395 + ... + 144512813.

It is an arithmetic number, because the mean of its divisors is an integer number (16223712750).

Almost surely, 2^{1361121831576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361121831576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076635232000).

1361121831576 is an abundant number, since it is smaller than the sum of its proper divisors (2792148632424).

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

1361121831576 is a wasteful number, since it uses less digits than its factorization.

1361121831576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471 (or 10461 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 1361121831576 in words is "one trillion, three hundred sixty-one billion, one hundred twenty-one million, eight hundred thirty-one thousand, five hundred seventy-six".