1664422442496 has 1440 divisors, whose sum is σ = 6029387844480. Its totient is φ = 457049640960.

The previous prime is 1664422442413. The next prime is 1664422442497. The reversal of 1664422442496 is 6942442244661.

1664422442496 is a `hidden beast` number, since 16 + 64 + 42 + 2 + 4 + 42 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664422442497) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72366193141 + ... + 72366193163.

It is an arithmetic number, because the mean of its divisors is an integer number (4187074892).

Almost surely, 2^{1664422442496} is an apocalyptic number.

1664422442496 is a gapful number since it is divisible by the number (16) 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 1664422442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014693922240).

1664422442496 is an abundant number, since it is smaller than the sum of its proper divisors (4364965401984).

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

1664422442496 is an frugal number, since it uses more digits than its factorization.

1664422442496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 58 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The spelling of 1664422442496 in words is "one trillion, six hundred sixty-four billion, four hundred twenty-two million, four hundred forty-two thousand, four hundred ninety-six".