1689311657488 has 240 divisors, whose sum is σ = 4309086492480. Its totient is φ = 635109092352.

The previous prime is 1689311657477. The next prime is 1689311657497. The reversal of 1689311657488 is 8847561139861.

It is a super-2 number, since 2×1689311657488² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16163383 + ... + 16267561.

It is an arithmetic number, because the mean of its divisors is an integer number (17954527052).

Almost surely, 2^{1689311657488} 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 1689311657488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154543246240).

1689311657488 is an abundant number, since it is smaller than the sum of its proper divisors (2619774834992).

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

1689311657488 is a wasteful number, since it uses less digits than its factorization.

1689311657488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104294 (or 104281 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 67.

The spelling of 1689311657488 in words is "one trillion, six hundred eighty-nine billion, three hundred eleven million, six hundred fifty-seven thousand, four hundred eighty-eight".