1149311221760 has 512 divisors, whose sum is σ = 3210481008000. Its totient is φ = 391429226496.

The previous prime is 1149311221657. The next prime is 1149311221777. The reversal of 1149311221760 is 671221139411.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420656236 + ... + 1420657044.

Almost surely, 2^{1149311221760} is an apocalyptic number.

1149311221760 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 1149311221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605240504000).

1149311221760 is an abundant number, since it is smaller than the sum of its proper divisors (2061169786240).

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

1149311221760 is an equidigital number, since it uses as much as digits as its factorization.

1149311221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 1149311221760 in words is "one trillion, one hundred forty-nine billion, three hundred eleven million, two hundred twenty-one thousand, seven hundred sixty".