11205916164 has 45 divisors (see below), whose sum is σ = 29299460421. Its totient is φ = 3734670240.

The previous prime is 11205916147. The next prime is 11205916201. The reversal of 11205916164 is 46161950211.

The square root of 11205916164 is 105858.

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

11205916164 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 591 + 6 + 1 + 64 = 666.

11205916164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9339676164 + 1866240000 = 96642^2 + 43200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1902504 + ... + 1908384.

Almost surely, 2^11205916164 is an apocalyptic number.

11205916164 is the 105858-th square number.

It is an amenable number.

11205916164 is an abundant number, since it is smaller than the sum of its proper divisors (18093544257).

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

11205916164 is an frugal number, since it uses more digits than its factorization.

11205916164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11778 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 11205916164 by its sum of digits (36), we get a square (403412981904 = 635148²).

11205916164 divided by its sum of digits (36) gives a square (311275449 = 17643²).

It can be divided in two parts, 11205 and 916164, that added together give a square (927369 = 963²).

The spelling of 11205916164 in words is "eleven billion, two hundred five million, nine hundred sixteen thousand, one hundred sixty-four".