1132288748640 has 672 divisors, whose sum is σ = 4690415068416. Its totient is φ = 252782208000.

The previous prime is 1132288748611. The next prime is 1132288748659. The reversal of 1132288748640 is 468478822311.

1132288748640 is a `hidden beast` number, since 1 + 132 + 28 + 8 + 7 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 35092515 + ... + 35124765.

It is an arithmetic number, because the mean of its divisors is an integer number (6979784328).

Almost surely, 2^{1132288748640} is an apocalyptic number.

1132288748640 is a gapful number since it is divisible by the number (10) 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 1132288748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345207534208).

1132288748640 is an abundant number, since it is smaller than the sum of its proper divisors (3558126319776).

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

1132288748640 is an equidigital number, since it uses as much as digits as its factorization.

1132288748640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32334 (or 32311 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 1132288748640 in words is "one trillion, one hundred thirty-two billion, two hundred eighty-eight million, seven hundred forty-eight thousand, six hundred forty".