689007153312 has 336 divisors, whose sum is σ = 2065712158440. Its totient is φ = 226088755200.

The previous prime is 689007153271. The next prime is 689007153323. The reversal of 689007153312 is 213351700986.

It can be written as a sum of positive squares in 4 ways, for example, as 655575224976 + 33431928336 = 809676^2 + 182844^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 583409362 + ... + 583410542.

Almost surely, 2^689007153312 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 689007153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032856079220).

689007153312 is an abundant number, since it is smaller than the sum of its proper divisors (1376705005128).

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

689007153312 is a wasteful number, since it uses less digits than its factorization.

689007153312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 689007153312 in words is "six hundred eighty-nine billion, seven million, one hundred fifty-three thousand, three hundred twelve".