1689849440832 has 224 divisors, whose sum is σ = 5166996129792. Its totient is φ = 477416964096.

The previous prime is 1689849440819. The next prime is 1689849440863. The reversal of 1689849440832 is 2380449489861.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1689849440832² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167257093 + ... + 167267195.

It is an arithmetic number, because the mean of its divisors is an integer number (23066947008).

Almost surely, 2^{1689849440832} is an apocalyptic number.

1689849440832 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 1689849440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583498064896).

1689849440832 is an abundant number, since it is smaller than the sum of its proper divisors (3477146688960).

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

1689849440832 is a wasteful number, since it uses less digits than its factorization.

1689849440832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11495 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 66.

The spelling of 1689849440832 in words is "one trillion, six hundred eighty-nine billion, eight hundred forty-nine million, four hundred forty thousand, eight hundred thirty-two".