1687359432256 has 63 divisors (see below), whose sum is σ = 3365036683299. Its totient is φ = 839496987648.

The previous prime is 1687359432193. The next prime is 1687359432277. The reversal of 1687359432256 is 6522349537861.

The square root of 1687359432256 is 1298984.

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

It can be written as a sum of positive squares in 4 ways, for example, as 636357198400 + 1051002233856 = 797720^2 + 1025184^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1687359432194 and 1687359432203.

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 8 ways as a sum of consecutive naturals, for example, 4125572980 + ... + 4125573388.

Almost surely, 2^{1687359432256} is an apocalyptic number.

1687359432256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1687359432256 is the 1298984-th square number.

It is an amenable number.

1687359432256 is a deficient number, since it is larger than the sum of its proper divisors (1677677251043).

1687359432256 is an frugal number, since it uses more digits than its factorization.

1687359432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 808 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 61.

The spelling of 1687359432256 in words is "one trillion, six hundred eighty-seven billion, three hundred fifty-nine million, four hundred thirty-two thousand, two hundred fifty-six".