1689277778496 has 2520 divisors, whose sum is σ = 7020588887928. Its totient is φ = 398529331200.

The previous prime is 1689277778467. The next prime is 1689277778527. The reversal of 1689277778496 is 6948777729861.

It can be written as a sum of positive squares in 4 ways, for example, as 201658476096 + 1487619302400 = 449064^2 + 1219680^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 27693078306 + ... + 27693078366.

Almost surely, 2^{1689277778496} is an apocalyptic number.

1689277778496 is a gapful number since it is divisible by the number (16) 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 1689277778496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510294443964).

1689277778496 is an abundant number, since it is smaller than the sum of its proper divisors (5331311109432).

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

1689277778496 is a wasteful number, since it uses less digits than its factorization.

1689277778496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its digits is 3584673792, while the sum is 81.

The spelling of 1689277778496 in words is "one trillion, six hundred eighty-nine billion, two hundred seventy-seven million, seven hundred seventy-eight thousand, four hundred ninety-six".