11776408164 has 72 divisors (see below), whose sum is σ = 33178148640. Its totient is φ = 3500105472.

The previous prime is 11776408159. The next prime is 11776408169. The reversal of 11776408164 is 46180467711.

11776408164 is a `hidden beast` number, since 1 + 17 + 76 + 408 + 164 = 666.

It is an interprime number because it is at equal distance from previous prime (11776408159) and next prime (11776408169).

It is not an unprimeable number, because it can be changed into a prime (11776408169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494754 + ... + 518009.

It is an arithmetic number, because the mean of its divisors is an integer number (460807620).

Almost surely, 2^11776408164 is an apocalyptic number.

It is an amenable number.

11776408164 is an abundant number, since it is smaller than the sum of its proper divisors (21401740476).

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

11776408164 is a wasteful number, since it uses less digits than its factorization.

11776408164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012809 (or 1012804 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11776408164 in words is "eleven billion, seven hundred seventy-six million, four hundred eight thousand, one hundred sixty-four".