1131245031888 has 100 divisors (see below), whose sum is σ = 3280714624000. Its totient is φ = 376325787456.

The previous prime is 1131245031863. The next prime is 1131245031893. The reversal of 1131245031888 is 8881305421311.

1131245031888 is a `hidden beast` number, since 1 + 1 + 3 + 12 + 450 + 3 + 188 + 8 = 666.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 227920 + ... + 1521327.

It is an arithmetic number, because the mean of its divisors is an integer number (32807146240).

Almost surely, 2^{1131245031888} is an apocalyptic number.

1131245031888 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 1131245031888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640357312000).

1131245031888 is an abundant number, since it is smaller than the sum of its proper divisors (2149469592112).

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

1131245031888 is a wasteful number, since it uses less digits than its factorization.

1131245031888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749766 (or 1749751 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1131245031888 in words is "one trillion, one hundred thirty-one billion, two hundred forty-five million, thirty-one thousand, eight hundred eighty-eight".