1124077491936 has 1152 divisors, whose sum is σ = 4207382839296. Its totient is φ = 277072773120.

The previous prime is 1124077491857. The next prime is 1124077491937. The reversal of 1124077491936 is 6391947704211.

1124077491936 is a `hidden beast` number, since 1 + 1 + 2 + 407 + 7 + 49 + 193 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124077491937) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3836441806 + ... + 3836442098.

It is an arithmetic number, because the mean of its divisors is an integer number (3652242048).

Almost surely, 2^{1124077491936} is an apocalyptic number.

1124077491936 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 1124077491936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103691419648).

1124077491936 is an abundant number, since it is smaller than the sum of its proper divisors (3083305347360).

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

1124077491936 is a wasteful number, since it uses less digits than its factorization.

1124077491936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1124077491936 in words is "one trillion, one hundred twenty-four billion, seventy-seven million, four hundred ninety-one thousand, nine hundred thirty-six".