1130742661176 has 96 divisors (see below), whose sum is σ = 3122985294000. Its totient is φ = 369473674752.

The previous prime is 1130742661129. The next prime is 1130742661187. The reversal of 1130742661176 is 6711662470311.

It is a happy number.

1130742661176 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 7 + 4 + 26 + 611 + 7 + 6 = 666.

It is a super-3 number, since 3×1130742661176³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4177035 + ... + 4439493.

Almost surely, 2^{1130742661176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130742661176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561492647000).

1130742661176 is an abundant number, since it is smaller than the sum of its proper divisors (1992242632824).

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

1130742661176 is a wasteful number, since it uses less digits than its factorization.

1130742661176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263653 (or 263646 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1130742661176 in words is "one trillion, one hundred thirty billion, seven hundred forty-two million, six hundred sixty-one thousand, one hundred seventy-six".