1689187280112 has 280 divisors, whose sum is σ = 5019183662400. Its totient is φ = 550222295040.

The previous prime is 1689187280071. The next prime is 1689187280141. The reversal of 1689187280112 is 2110827819861.

1689187280112 is a `hidden beast` number, since 168 + 91 + 8 + 7 + 280 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 417184264 + ... + 417188312.

Almost surely, 2^{1689187280112} is an apocalyptic number.

1689187280112 is a gapful number since it is divisible by the number (12) 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 1689187280112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509591831200).

1689187280112 is an abundant number, since it is smaller than the sum of its proper divisors (3329996382288).

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

1689187280112 is an equidigital number, since it uses as much as digits as its factorization.

1689187280112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 1689187280112 in words is "one trillion, six hundred eighty-nine billion, one hundred eighty-seven million, two hundred eighty thousand, one hundred twelve".