1665636048000 has 320 divisors, whose sum is σ = 6186223363320. Its totient is φ = 444169267200.

The previous prime is 1665636047981. The next prime is 1665636048031. The reversal of 1665636048000 is 8406365661.

1665636048000 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 636 + 0 + 4 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88722962496 + 1576913085504 = 297864^2 + 1255752^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 653394 + ... + 1938606.

Almost surely, 2^{1665636048000} is an apocalyptic number.

1665636048000 is a gapful number since it is divisible by the number (10) 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 1665636048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093111681660).

1665636048000 is an abundant number, since it is smaller than the sum of its proper divisors (4520587315320).

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

1665636048000 is an equidigital number, since it uses as much as digits as its factorization.

1665636048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285254 (or 1285223 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1665636048000 in words is "one trillion, six hundred sixty-five billion, six hundred thirty-six million, forty-eight thousand".