1687416588036 has 45 divisors (see below), whose sum is σ = 4411301404279. Its totient is φ = 562464401976.

The previous prime is 1687416588029. The next prime is 1687416588041. The reversal of 1687416588036 is 6308856147861.

The square root of 1687416588036 is 1299006.

It is a perfect power (a square), and thus also a powerful number.

1687416588036 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 4 + 16 + 588 + 0 + 36 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23346025 + ... + 23418191.

Almost surely, 2^{1687416588036} is an apocalyptic number.

1687416588036 is the 1299006-th square number.

It is an amenable number.

1687416588036 is an abundant number, since it is smaller than the sum of its proper divisors (2723884816243).

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

1687416588036 is an frugal number, since it uses more digits than its factorization.

1687416588036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144350 (or 72172 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 1687416588036 in words is "one trillion, six hundred eighty-seven billion, four hundred sixteen million, five hundred eighty-eight thousand, thirty-six".