1168553742048 has 432 divisors, whose sum is σ = 4373239538304. Its totient is φ = 303519363840.

The previous prime is 1168553742007. The next prime is 1168553742071. The reversal of 1168553742048 is 8402473558611.

It is a happy number.

1168553742048 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 553 + 7 + 42 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1168553741985 and 1168553742003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4051861 + ... + 4330667.

It is an arithmetic number, because the mean of its divisors is an integer number (10123239672).

Almost surely, 2^{1168553742048} is an apocalyptic number.

1168553742048 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 1168553742048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186619769152).

1168553742048 is an abundant number, since it is smaller than the sum of its proper divisors (3204685796256).

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

1168553742048 is a wasteful number, since it uses less digits than its factorization.

1168553742048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278857 (or 278830 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1168553742048 in words is "one trillion, one hundred sixty-eight billion, five hundred fifty-three million, seven hundred forty-two thousand, forty-eight".