1131683851296 has 144 divisors (see below), whose sum is σ = 3238200889560. Its totient is φ = 374888448000.

The previous prime is 1131683851267. The next prime is 1131683851327. The reversal of 1131683851296 is 6921583861311.

1131683851296 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 6 + 8 + 38 + 512 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1087356759696 + 44327091600 = 1042764^2 + 210540^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 205720546 + ... + 205726046.

Almost surely, 2^{1131683851296} is an apocalyptic number.

1131683851296 is a gapful number since it is divisible by the number (16) 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 1131683851296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619100444780).

1131683851296 is an abundant number, since it is smaller than the sum of its proper divisors (2106517038264).

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

1131683851296 is a wasteful number, since it uses less digits than its factorization.

1131683851296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9819 (or 9808 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 1131683851296 in words is "one trillion, one hundred thirty-one billion, six hundred eighty-three million, eight hundred fifty-one thousand, two hundred ninety-six".