1168490404800 has 336 divisors, whose sum is σ = 4262499191520. Its totient is φ = 311383941120.

The previous prime is 1168490404793. The next prime is 1168490404819. The reversal of 1168490404800 is 84040948611.

1168490404800 is a `hidden beast` number, since 1 + 1 + 6 + 84 + 90 + 4 + 0 + 480 + 0 = 666.

It is a super-2 number, since 2×1168490404800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68981932 + ... + 68998868.

Almost surely, 2^{1168490404800} is an apocalyptic number.

1168490404800 is a gapful number since it is divisible by the number (10) 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 1168490404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131249595760).

1168490404800 is an abundant number, since it is smaller than the sum of its proper divisors (3094008786720).

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

1168490404800 is a wasteful number, since it uses less digits than its factorization.

1168490404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18565 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1168490404800 in words is "one trillion, one hundred sixty-eight billion, four hundred ninety million, four hundred four thousand, eight hundred".