11190958493521 has 9 divisors (see below), whose sum is σ = 11203581104433. Its totient is φ = 11178350099280.

The previous prime is 11190958493401. The next prime is 11190958493557. The reversal of 11190958493521 is 12539485909111.

The square root of 11190958493521 is 3345289.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1446821659921 + 9744136833600 = 1202839^2 + 3121560^2 .

It is not a de Polignac number, because 11190958493521 - 2⁹ = 11190958493009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11190958493321) 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, 4780416811 + ... + 4780419151.

It is an arithmetic number, because the mean of its divisors is an integer number (1244842344937).

Almost surely, 2^{11190958493521} is an apocalyptic number.

11190958493521 is the 3345289-th square number.

11190958493521 is the 1672645-th centered octagonal number.

It is an amenable number.

11190958493521 is a deficient number, since it is larger than the sum of its proper divisors (12622610912).

11190958493521 is an frugal number, since it uses more digits than its factorization.

11190958493521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7540 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 58.

The spelling of 11190958493521 in words is "eleven trillion, one hundred ninety billion, nine hundred fifty-eight million, four hundred ninety-three thousand, five hundred twenty-one".