1118745641728 has 288 divisors, whose sum is σ = 2736345249792. Its totient is φ = 449534361600.

The previous prime is 1118745641719. The next prime is 1118745641743. The reversal of 1118745641728 is 8271465478111.

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 31 ways as a sum of consecutive naturals, for example, 110075175 + ... + 110085337.

It is an arithmetic number, because the mean of its divisors is an integer number (9501198784).

Almost surely, 2^{1118745641728} 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 1118745641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368172624896).

1118745641728 is an abundant number, since it is smaller than the sum of its proper divisors (1617599608064).

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

1118745641728 is a wasteful number, since it uses less digits than its factorization.

1118745641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10317 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 55.

The spelling of 1118745641728 in words is "one trillion, one hundred eighteen billion, seven hundred forty-five million, six hundred forty-one thousand, seven hundred twenty-eight".