1091005318144 has 99 divisors (see below), whose sum is σ = 2537562078207. Its totient is φ = 467473434624.

The previous prime is 1091005318141. The next prime is 1091005318181. The reversal of 1091005318144 is 4418135001901.

The square root of 1091005318144 is 1044512.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1091005318141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 233968357 + ... + 233973019.

Almost surely, 2^{1091005318144} is an apocalyptic number.

1091005318144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1091005318144 is the 1044512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1091005318144

1091005318144 is an abundant number, since it is smaller than the sum of its proper divisors (1446556760063).

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

1091005318144 is an frugal number, since it uses more digits than its factorization.

1091005318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9360 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 1091005318144 in words is "one trillion, ninety-one billion, five million, three hundred eighteen thousand, one hundred forty-four".