11476168704 has 624 divisors, whose sum is σ = 44651303424. Its totient is φ = 2742681600.

The previous prime is 11476168687. The next prime is 11476168747. The reversal of 11476168704 is 40786167411.

11476168704 is a `hidden beast` number, since 11 + 476 + 168 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a self number, because there is not a number n which added to its sum of digits gives 11476168704.

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, 36900709 + ... + 36901019.

It is an arithmetic number, because the mean of its divisors is an integer number (71556576).

Almost surely, 2^11476168704 is an apocalyptic number.

11476168704 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 11476168704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325651712).

11476168704 is an abundant number, since it is smaller than the sum of its proper divisors (33175134720).

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

11476168704 is a wasteful number, since it uses less digits than its factorization.

11476168704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

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

The spelling of 11476168704 in words is "eleven billion, four hundred seventy-six million, one hundred sixty-eight thousand, seven hundred four".