1687143618432 has 96 divisors (see below), whose sum is σ = 4973344608960. Its totient is φ = 548664576000.

The previous prime is 1687143618311. The next prime is 1687143618463. The reversal of 1687143618432 is 2348163417861.

1687143618432 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 14 + 3 + 618 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17812944 + ... + 17907407.

It is an arithmetic number, because the mean of its divisors is an integer number (51805673010).

Almost surely, 2^{1687143618432} is an apocalyptic number.

1687143618432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1687143618432 is an abundant number, since it is smaller than the sum of its proper divisors (3286200990528).

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

1687143618432 is a wasteful number, since it uses less digits than its factorization.

1687143618432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35720412 (or 35720397 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 1687143618432 in words is "one trillion, six hundred eighty-seven billion, one hundred forty-three million, six hundred eighteen thousand, four hundred thirty-two".