11090172096481 has 9 divisors (see below), whose sum is σ = 11124884115219. Its totient is φ = 11055568081800.

The previous prime is 11090172096433. The next prime is 11090172096499. The reversal of 11090172096481 is 18469027109011.

The square root of 11090172096481 is 3330191.

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

It can be written as a sum of positive squares in only one way, i.e., 6346575216081 + 4743596880400 = 2519241^2 + 2177980^2 .

It is not a de Polignac number, because 11090172096481 - 2⁹ = 11090172095969 is a prime.

It is a super-2 number, since 2×11090172096481² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11090172096181) 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, 1102288191 + ... + 1102298251.

Almost surely, 2^{11090172096481} is an apocalyptic number.

11090172096481 is the 3330191-st square number.

11090172096481 is the 1665096-th centered octagonal number.

It is an amenable number.

11090172096481 is a deficient number, since it is larger than the sum of its proper divisors (34712018738).

11090172096481 is an frugal number, since it uses more digits than its factorization.

11090172096481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20784 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 49.

Multiplying 11090172096481 by its sum of digits (49), we get a square (543418432727569 = 23311337²).

The spelling of 11090172096481 in words is "eleven trillion, ninety billion, one hundred seventy-two million, ninety-six thousand, four hundred eighty-one".