1669158208704 has 448 divisors, whose sum is σ = 5264247324672. Its totient is φ = 456744960000.

The previous prime is 1669158208657. The next prime is 1669158208717. The reversal of 1669158208704 is 4078028519661.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 2018328739 + ... + 2018329565.

It is an arithmetic number, because the mean of its divisors is an integer number (11750552064).

Almost surely, 2^{1669158208704} is an apocalyptic number.

1669158208704 is a gapful number since it is divisible by the number (14) 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 1669158208704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632123662336).

1669158208704 is an abundant number, since it is smaller than the sum of its proper divisors (3595089115968).

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

1669158208704 is a wasteful number, since it uses less digits than its factorization.

1669158208704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 1669158208704 in words is "one trillion, six hundred sixty-nine billion, one hundred fifty-eight million, two hundred eight thousand, seven hundred four".