1131686700048 has 320 divisors, whose sum is σ = 3393086400000. Its totient is φ = 360691107840.

The previous prime is 1131686700047. The next prime is 1131686700059. The reversal of 1131686700048 is 8400076861311.

It is a junction number, because it is equal to n+sod(n) for n = 1131686699976 and 1131686700012.

It is not an unprimeable number, because it can be changed into a prime (1131686700047) 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 63 ways as a sum of consecutive naturals, for example, 819468318 + ... + 819469698.

It is an arithmetic number, because the mean of its divisors is an integer number (10603395000).

Almost surely, 2^{1131686700048} is an apocalyptic number.

1131686700048 is a gapful number since it is divisible by the number (18) 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 1131686700048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696543200000).

1131686700048 is an abundant number, since it is smaller than the sum of its proper divisors (2261399699952).

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

1131686700048 is a wasteful number, since it uses less digits than its factorization.

1131686700048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1131686700048 in words is "one trillion, one hundred thirty-one billion, six hundred eighty-six million, seven hundred thousand, forty-eight".