1688377989376 has 81 divisors (see below), whose sum is σ = 3649929935841. Its totient is φ = 779126639616.

The previous prime is 1688377989373. The next prime is 1688377989383. The reversal of 1688377989376 is 6739897738861.

The square root of 1688377989376 is 1299376.

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

It can be written as a sum of positive squares in only one way, i.e., 249760057600 + 1438617931776 = 499760^2 + 1199424^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1688377989376.

It is not an unprimeable number, because it can be changed into a prime (1688377989373) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 270267085 + ... + 270273331.

Almost surely, 2^{1688377989376} is an apocalyptic number.

1688377989376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1688377989376 is the 1299376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1688377989376

1688377989376 is an abundant number, since it is smaller than the sum of its proper divisors (1961551946465).

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

1688377989376 is an frugal number, since it uses more digits than its factorization.

1688377989376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12536 (or 6262 counting only the distinct ones).

The product of its digits is 4608866304, while the sum is 82.

The spelling of 1688377989376 in words is "one trillion, six hundred eighty-eight billion, three hundred seventy-seven million, nine hundred eighty-nine thousand, three hundred seventy-six".