1168948691568 has 200 divisors, whose sum is σ = 3892556738400. Its totient is φ = 331743444480.

The previous prime is 1168948691543. The next prime is 1168948691627. The reversal of 1168948691568 is 8651968498611.

1168948691568 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 9 + 486 + 91 + 56 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1168948691496 and 1168948691505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 919338 + ... + 1784118.

It is an arithmetic number, because the mean of its divisors is an integer number (19462783692).

Almost surely, 2^{1168948691568} is an apocalyptic number.

1168948691568 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 1168948691568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946278369200).

1168948691568 is an abundant number, since it is smaller than the sum of its proper divisors (2723608046832).

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

1168948691568 is a wasteful number, since it uses less digits than its factorization.

1168948691568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864957 (or 864942 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 72.

The spelling of 1168948691568 in words is "one trillion, one hundred sixty-eight billion, nine hundred forty-eight million, six hundred ninety-one thousand, five hundred sixty-eight".