1168136505984 has 256 divisors, whose sum is σ = 3735898675200. Its totient is φ = 315922083840.

The previous prime is 1168136505983. The next prime is 1168136506039. The reversal of 1168136505984 is 4895056318611.

It is a super-2 number, since 2×1168136505984² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1168136505983) 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 31 ways as a sum of consecutive naturals, for example, 65209989 + ... + 65227899.

It is an arithmetic number, because the mean of its divisors is an integer number (14593354200).

Almost surely, 2^{1168136505984} is an apocalyptic number.

1168136505984 is a gapful number since it is divisible by the number (14) 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 1168136505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867949337600).

1168136505984 is an abundant number, since it is smaller than the sum of its proper divisors (2567762169216).

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

1168136505984 is a wasteful number, since it uses less digits than its factorization.

1168136505984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19231 (or 19219 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 1168136505984 in words is "one trillion, one hundred sixty-eight billion, one hundred thirty-six million, five hundred five thousand, nine hundred eighty-four".