11205379164 has 144 divisors (see below), whose sum is σ = 31147597824. Its totient is φ = 3071053440.

The previous prime is 11205379153. The next prime is 11205379183. The reversal of 11205379164 is 46197350211.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10251402 + ... + 10252494.

Almost surely, 2^11205379164 is an apocalyptic number.

11205379164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11205379164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573798912).

11205379164 is an abundant number, since it is smaller than the sum of its proper divisors (19942218660).

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

11205379164 is a wasteful number, since it uses less digits than its factorization.

11205379164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 11205379164 in words is "eleven billion, two hundred five million, three hundred seventy-nine thousand, one hundred sixty-four".