1291141545246 has 288 divisors, whose sum is σ = 3387894681600. Its totient is φ = 353962586880.

The previous prime is 1291141545223. The next prime is 1291141545257. The reversal of 1291141545246 is 6425451411921.

1291141545246 is a `hidden beast` number, since 1 + 2 + 9 + 114 + 1 + 5 + 4 + 524 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2941096695 + ... + 2941097133.

It is an arithmetic number, because the mean of its divisors is an integer number (11763523200).

Almost surely, 2^{1291141545246} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1291141545246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693947340800).

1291141545246 is an abundant number, since it is smaller than the sum of its proper divisors (2096753136354).

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

1291141545246 is a wasteful number, since it uses less digits than its factorization.

1291141545246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1154 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 1291141545246 in words is "one trillion, two hundred ninety-one billion, one hundred forty-one million, five hundred forty-five thousand, two hundred forty-six".