1689179498688 has 672 divisors, whose sum is σ = 5271915995136. Its totient is φ = 472922112000.

The previous prime is 1689179498687. The next prime is 1689179498701. The reversal of 1689179498688 is 8868949719861.

It is a happy number.

It is a super-3 number, since 3×1689179498688³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1689179498688.

It is not an unprimeable number, because it can be changed into a prime (1689179498687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4410390145 + ... + 4410390527.

It is an arithmetic number, because the mean of its divisors is an integer number (7845113088).

Almost surely, 2^{1689179498688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1689179498688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635957997568).

1689179498688 is an abundant number, since it is smaller than the sum of its proper divisors (3582736496448).

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

1689179498688 is a wasteful number, since it uses less digits than its factorization.

1689179498688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 524 counting only the distinct ones).

The product of its digits is 3009871872, while the sum is 84.

The spelling of 1689179498688 in words is "one trillion, six hundred eighty-nine billion, one hundred seventy-nine million, four hundred ninety-eight thousand, six hundred eighty-eight".