11364199609 has 27 divisors (see below), whose sum is σ = 13442888493. Its totient is φ = 9578919168.

The previous prime is 11364199603. The next prime is 11364199621. The reversal of 11364199609 is 90699146311.

The square root of 11364199609 is 106603.

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 775789609 + 10588410000 = 27853^2 + 102900^2 .

It is not a de Polignac number, because 11364199609 - 2⁹ = 11364199097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11364199603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72383359 + ... + 72383515.

It is an arithmetic number, because the mean of its divisors is an integer number (497884759).

Almost surely, 2^11364199609 is an apocalyptic number.

11364199609 is the 106603-rd square number.

11364199609 is the 53302-nd centered octagonal number.

It is an amenable number.

11364199609 is a deficient number, since it is larger than the sum of its proper divisors (2078688884).

11364199609 is an frugal number, since it uses more digits than its factorization.

11364199609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 49.

Multiplying 11364199609 by its sum of digits (49), we get a square (556845780841 = 746221²).

11364199609 divided by its sum of digits (49) gives a square (231922441 = 15229²).

The spelling of 11364199609 in words is "eleven billion, three hundred sixty-four million, one hundred ninety-nine thousand, six hundred nine".