13811555676996 has 768 divisors, whose sum is σ = 49145564160000. Its totient is φ = 3312598947840.

The previous prime is 13811555676991. The next prime is 13811555677039. The reversal of 13811555676996 is 69967655511831.

13811555676996 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 1 + 5 + 556 + 7 + 69 + 9 + 6 = 666.

13811555676996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13811555676991) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 367124275 + ... + 367161893.

It is an arithmetic number, because the mean of its divisors is an integer number (63991620000).

Almost surely, 2^{13811555676996} 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 13811555676996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24572782080000).

13811555676996 is an abundant number, since it is smaller than the sum of its proper divisors (35334008483004).

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

13811555676996 is a wasteful number, since it uses less digits than its factorization.

13811555676996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37734 (or 37712 counting only the distinct ones).

The product of its digits is 367416000, while the sum is 72.

The spelling of 13811555676996 in words is "thirteen trillion, eight hundred eleven billion, five hundred fifty-five million, six hundred seventy-six thousand, nine hundred ninety-six".