13481676936 has 672 divisors, whose sum is σ = 50239526400. Its totient is φ = 3350833920.

The previous prime is 13481676913. The next prime is 13481676947. The reversal of 13481676936 is 63967618431.

It is a happy number.

13481676936 is a `hidden beast` number, since 1 + 3 + 481 + 6 + 76 + 93 + 6 = 666.

It is a super-2 number, since 2×13481676936² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 70584601 + ... + 70584791.

It is an arithmetic number, because the mean of its divisors is an integer number (74761200).

Almost surely, 2^13481676936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13481676936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25119763200).

13481676936 is an abundant number, since it is smaller than the sum of its proper divisors (36757849464).

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

13481676936 is a wasteful number, since it uses less digits than its factorization.

13481676936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 235 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 13481676936 in words is "thirteen billion, four hundred eighty-one million, six hundred seventy-six thousand, nine hundred thirty-six".