1316083755168 has 192 divisors, whose sum is σ = 4724403505920. Its totient is φ = 347098991616.

The previous prime is 1316083755167. The next prime is 1316083755209. The reversal of 1316083755168 is 8615573806131.

It is a happy number.

1316083755168 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 0 + 83 + 7 + 551 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1316083755163) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8290855 + ... + 8448102.

It is an arithmetic number, because the mean of its divisors is an integer number (24606268260).

Almost surely, 2^{1316083755168} is an apocalyptic number.

1316083755168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1316083755168 is an abundant number, since it is smaller than the sum of its proper divisors (3408319750752).

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

1316083755168 is a wasteful number, since it uses less digits than its factorization.

1316083755168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16738996 (or 16738982 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1316083755168 in words is "one trillion, three hundred sixteen billion, eighty-three million, seven hundred fifty-five thousand, one hundred sixty-eight".