1291168599616 has 189 divisors, whose sum is σ = 3025047732849. Its totient is φ = 545203911168.

The previous prime is 1291168599613. The next prime is 1291168599629. The reversal of 1291168599616 is 6169958611921.

The square root of 1291168599616 is 1136296.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1265085057600 + 26083542016 = 1124760^2 + 161504^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1291168599613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6554155230 + ... + 6554155426.

Almost surely, 2^{1291168599616} is an apocalyptic number.

1291168599616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1291168599616 is the 1136296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1291168599616

1291168599616 is an abundant number, since it is smaller than the sum of its proper divisors (1733879133233).

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

1291168599616 is an frugal number, since it uses more digits than its factorization.

1291168599616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 309 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 64.

Multiplying 1291168599616 by its sum of digits (64), we get a square (82634790375424 = 9090368²).

1291168599616 divided by its sum of digits (64) gives a square (20174509369 = 142037²).

The spelling of 1291168599616 in words is "one trillion, two hundred ninety-one billion, one hundred sixty-eight million, five hundred ninety-nine thousand, six hundred sixteen".