16481311689024 has 756 divisors, whose sum is σ = 61866335920116. Its totient is φ = 4157682794496.

The previous prime is 16481311688993. The next prime is 16481311689119. The reversal of 16481311689024 is 42098611318461.

16481311689024 is a `hidden beast` number, since 1 + 6 + 481 + 3 + 11 + 68 + 90 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2864326074624 + 13616985614400 = 1692432^2 + 3690120^2 .

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 194053992 + ... + 194138904.

Almost surely, 2^{16481311689024} is an apocalyptic number.

16481311689024 is a gapful number since it is divisible by the number (14) 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 16481311689024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30933167960058).

16481311689024 is an abundant number, since it is smaller than the sum of its proper divisors (45385024231092).

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

16481311689024 is a wasteful number, since it uses less digits than its factorization.

16481311689024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85004 (or 84961 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 16481311689024 in words is "sixteen trillion, four hundred eighty-one billion, three hundred eleven million, six hundred eighty-nine thousand, twenty-four".