13481762976 has 144 divisors (see below), whose sum is σ = 41864685408. Its totient is φ = 4081420800.

The previous prime is 13481762971. The next prime is 13481763017. The reversal of 13481762976 is 67926718431.

13481762976 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 1 + 7 + 629 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13481762971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6325431 + ... + 6327561.

It is an arithmetic number, because the mean of its divisors is an integer number (290726982).

Almost surely, 2^13481762976 is an apocalyptic number.

13481762976 is a gapful number since it is divisible by the number (16) 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 13481762976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20932342704).

13481762976 is an abundant number, since it is smaller than the sum of its proper divisors (28382922432).

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

13481762976 is a wasteful number, since it uses less digits than its factorization.

13481762976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4144 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 13481762976 in words is "thirteen billion, four hundred eighty-one million, seven hundred sixty-two thousand, nine hundred seventy-six".