1131185147904 has 468 divisors, whose sum is σ = 3941458874496. Its totient is φ = 306160238592.

The previous prime is 1131185147903. The next prime is 1131185148013. The reversal of 1131185147904 is 4097415811311.

1131185147904 is a `hidden beast` number, since 1 + 1 + 31 + 18 + 514 + 7 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1131185147904.

It is not an unprimeable number, because it can be changed into a prime (1131185147903) 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 35 ways as a sum of consecutive naturals, for example, 93149257 + ... + 93161399.

It is an arithmetic number, because the mean of its divisors is an integer number (8421920672).

Almost surely, 2^{1131185147904} is an apocalyptic number.

1131185147904 is a gapful number since it is divisible by the number (14) 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 1131185147904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970729437248).

1131185147904 is an abundant number, since it is smaller than the sum of its proper divisors (2810273726592).

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

1131185147904 is a wasteful number, since it uses less digits than its factorization.

1131185147904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12218 (or 12174 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1131185147904 in words is "one trillion, one hundred thirty-one billion, one hundred eighty-five million, one hundred forty-seven thousand, nine hundred four".