1659352046464 has 128 divisors (see below), whose sum is σ = 3837110745600. Its totient is φ = 700053043200.

The previous prime is 1659352046449. The next prime is 1659352046491. The reversal of 1659352046464 is 4646402539561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 41903154 + ... + 41942734.

It is an arithmetic number, because the mean of its divisors is an integer number (29977427700).

Almost surely, 2^{1659352046464} is an apocalyptic number.

1659352046464 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 1659352046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918555372800).

1659352046464 is an abundant number, since it is smaller than the sum of its proper divisors (2177758699136).

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

1659352046464 is an equidigital number, since it uses as much as digits as its factorization.

1659352046464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40332 (or 40320 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 55.

The spelling of 1659352046464 in words is "one trillion, six hundred fifty-nine billion, three hundred fifty-two million, forty-six thousand, four hundred sixty-four".