11479408164 has 81 divisors (see below), whose sum is σ = 33768163611. Its totient is φ = 3278545200.

The previous prime is 11479408147. The next prime is 11479408189. The reversal of 11479408164 is 46180497411.

The square root of 11479408164 is 107142.

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

11479408164 is a `hidden beast` number, since 1 + 1 + 479 + 40 + 81 + 64 = 666.

11479408164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 26 ways as a sum of consecutive naturals, for example, 4498689 + ... + 4501239.

Almost surely, 2^11479408164 is an apocalyptic number.

11479408164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11479408164 is the 107142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11479408164

11479408164 is an abundant number, since it is smaller than the sum of its proper divisors (22288755447).

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

11479408164 is an equidigital number, since it uses as much as digits as its factorization.

11479408164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11479408164 in words is "eleven billion, four hundred seventy-nine million, four hundred eight thousand, one hundred sixty-four".