1664581100448 has 96 divisors (see below), whose sum is σ = 5049852958080. Its totient is φ = 470250823680.

The previous prime is 1664581100443. The next prime is 1664581100453. The reversal of 1664581100448 is 8440011854661.

It is an interprime number because it is at equal distance from previous prime (1664581100443) and next prime (1664581100453).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1664581100397 and 1664581100406.

It is not an unprimeable number, because it can be changed into a prime (1664581100443) by changing a digit.

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, 13856233 + ... + 13975848.

It is an arithmetic number, because the mean of its divisors is an integer number (52602634980).

Almost surely, 2^{1664581100448} is an apocalyptic number.

It is an amenable number.

1664581100448 is an abundant number, since it is smaller than the sum of its proper divisors (3385271857632).

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

1664581100448 is a wasteful number, since it uses less digits than its factorization.

1664581100448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27832190 (or 27832182 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 1664581100448 in words is "one trillion, six hundred sixty-four billion, five hundred eighty-one million, one hundred thousand, four hundred forty-eight".