1687613211648 has 1408 divisors, whose sum is σ = 6391880320000. Its totient is φ = 445084803072.

The previous prime is 1687613211541. The next prime is 1687613211679. The reversal of 1687613211648 is 8461123167861.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1687613211648 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 613 + 2 + 1 + 16 + 4 + 8 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 1687613211594 and 1687613211603.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129816400890 + ... + 129816400902.

Almost surely, 2^{1687613211648} is an apocalyptic number.

1687613211648 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 1687613211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195940160000).

1687613211648 is an abundant number, since it is smaller than the sum of its proper divisors (4704267108352).

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

1687613211648 is an frugal number, since it uses more digits than its factorization.

1687613211648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 25 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 1687613211648 in words is "one trillion, six hundred eighty-seven billion, six hundred thirteen million, two hundred eleven thousand, six hundred forty-eight".