1168681588032 has 224 divisors, whose sum is σ = 3578736291840. Its totient is φ = 329688115200.

The previous prime is 1168681588007. The next prime is 1168681588037. The reversal of 1168681588032 is 2308851868611.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1168681588037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49806319 + ... + 49829777.

Almost surely, 2^{1168681588032} is an apocalyptic number.

1168681588032 is a gapful number since it is divisible by the number (12) 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 1168681588032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789368145920).

1168681588032 is an abundant number, since it is smaller than the sum of its proper divisors (2410054703808).

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

1168681588032 is a wasteful number, since it uses less digits than its factorization.

1168681588032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23949 (or 23939 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 57.

The spelling of 1168681588032 in words is "one trillion, one hundred sixty-eight billion, six hundred eighty-one million, five hundred eighty-eight thousand, thirty-two".