1664101490688 has 1680 divisors, whose sum is σ = 6479502188544. Its totient is φ = 421382062080.

The previous prime is 1664101490671. The next prime is 1664101490741. The reversal of 1664101490688 is 8860941014661.

1664101490688 is a `hidden beast` number, since 1 + 6 + 6 + 410 + 149 + 0 + 6 + 88 = 666.

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 119 ways as a sum of consecutive naturals, for example, 13103161281 + ... + 13103161407.

Almost surely, 2^{1664101490688} is an apocalyptic number.

1664101490688 is a gapful number since it is divisible by the number (18) 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 1664101490688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239751094272).

1664101490688 is an abundant number, since it is smaller than the sum of its proper divisors (4815400697856).

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

1664101490688 is a wasteful number, since it uses less digits than its factorization.

1664101490688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1664101490688 in words is "one trillion, six hundred sixty-four billion, one hundred one million, four hundred ninety thousand, six hundred eighty-eight".