1261341341568 has 2160 divisors, whose sum is σ = 5170385432520. Its totient is φ = 304006348800.

The previous prime is 1261341341537. The next prime is 1261341341593. The reversal of 1261341341568 is 8651431431621.

It is a happy number.

1261341341568 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 3 + 41 + 3 + 41 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 17765370973 + ... + 17765371043.

Almost surely, 2^{1261341341568} is an apocalyptic number.

1261341341568 is a gapful number since it is divisible by the number (18) 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 1261341341568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585192716260).

1261341341568 is an abundant number, since it is smaller than the sum of its proper divisors (3909044090952).

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

1261341341568 is a wasteful number, since it uses less digits than its factorization.

1261341341568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 111 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 1261341341568 in words is "one trillion, two hundred sixty-one billion, three hundred forty-one million, three hundred forty-one thousand, five hundred sixty-eight".