13998634769088 has 504 divisors, whose sum is σ = 43100889109200. Its totient is φ = 4342842556416.

The previous prime is 13998634769047. The next prime is 13998634769131. The reversal of 13998634769088 is 88096743689931.

13998634769088 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 8 + 63 + 476 + 9 + 0 + 88 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13998634768998 and 13998634769016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5984879023 + ... + 5984881361.

Almost surely, 2^{13998634769088} is an apocalyptic number.

13998634769088 is a gapful number since it is divisible by the number (18) 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 13998634769088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21550444554600).

13998634769088 is an abundant number, since it is smaller than the sum of its proper divisors (29102254340112).

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

13998634769088 is a wasteful number, since it uses less digits than its factorization.

13998634769088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 13998634769088 in words is "thirteen trillion, nine hundred ninety-eight billion, six hundred thirty-four million, seven hundred sixty-nine thousand, eighty-eight".