1132756261824 has 224 divisors, whose sum is σ = 3326679078912. Its totient is φ = 337273344000.

The previous prime is 1132756261807. The next prime is 1132756261841. The reversal of 1132756261824 is 4281626572311.

It is an interprime number because it is at equal distance from previous prime (1132756261807) and next prime (1132756261841).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136686609 + ... + 136694895.

It is an arithmetic number, because the mean of its divisors is an integer number (14851245888).

Almost surely, 2^{1132756261824} 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 1132756261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663339539456).

1132756261824 is an abundant number, since it is smaller than the sum of its proper divisors (2193922817088).

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

1132756261824 is a wasteful number, since it uses less digits than its factorization.

1132756261824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9435 (or 9425 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 1132756261824 in words is "one trillion, one hundred thirty-two billion, seven hundred fifty-six million, two hundred sixty-one thousand, eight hundred twenty-four".