1168486456320 has 704 divisors, whose sum is σ = 4231048778880. Its totient is φ = 309586821120.

The previous prime is 1168486456307. The next prime is 1168486456331. The reversal of 1168486456320 is 236546848611.

1168486456320 is a `hidden beast` number, since 1 + 1 + 6 + 84 + 86 + 456 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2698582824 + ... + 2698583256.

It is an arithmetic number, because the mean of its divisors is an integer number (6010012470).

Almost surely, 2^{1168486456320} is an apocalyptic number.

1168486456320 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 1168486456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115524389440).

1168486456320 is an abundant number, since it is smaller than the sum of its proper divisors (3062562322560).

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

1168486456320 is an frugal number, since it uses more digits than its factorization.

1168486456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1168486456320 in words is "one trillion, one hundred sixty-eight billion, four hundred eighty-six million, four hundred fifty-six thousand, three hundred twenty".