16631118681408 has 336 divisors, whose sum is σ = 59502175249920. Its totient is φ = 4314732364800.

The previous prime is 16631118681341. The next prime is 16631118681421. The reversal of 16631118681408 is 80418681113661.

16631118681408 is a `hidden beast` number, since 1 + 6 + 6 + 311 + 186 + 8 + 140 + 8 = 666.

16631118681408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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, 37880103 + ... + 38316633.

Almost surely, 2^{16631118681408} is an apocalyptic number.

16631118681408 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 16631118681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29751087624960).

16631118681408 is an abundant number, since it is smaller than the sum of its proper divisors (42871056568512).

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

16631118681408 is a wasteful number, since it uses less digits than its factorization.

16631118681408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437426 (or 437413 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 16631118681408 in words is "sixteen trillion, six hundred thirty-one billion, one hundred eighteen million, six hundred eighty-one thousand, four hundred eight".