1664161920576 has 945 divisors, whose sum is σ = 5578590407313. Its totient is φ = 490415523840.

The previous prime is 1664161920517. The next prime is 1664161920643. The reversal of 1664161920576 is 6750291614661.

The square root of 1664161920576 is 1290024.

It is a perfect power (a square), and thus also a powerful number.

1664161920576 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 1 + 61 + 9 + 2 + 0 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80188646976 + 1583973273600 = 283176^2 + 1258560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 40589315116 + ... + 40589315156.

Almost surely, 2^{1664161920576} is an apocalyptic number.

1664161920576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1664161920576 is the 1290024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664161920576

1664161920576 is an abundant number, since it is smaller than the sum of its proper divisors (3914428486737).

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

1664161920576 is an equidigital number, since it uses as much as digits as its factorization.

1664161920576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1664161920576 in words is "one trillion, six hundred sixty-four billion, one hundred sixty-one million, nine hundred twenty thousand, five hundred seventy-six".