1663290317808 has 400 divisors, whose sum is σ = 5641647078144. Its totient is φ = 463290347520.

The previous prime is 1663290317807. The next prime is 1663290317837. The reversal of 1663290317808 is 8087130923661.

1663290317808 is a `hidden beast` number, since 166 + 3 + 2 + 90 + 317 + 80 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663290317803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58944823 + ... + 58973033.

Almost surely, 2^{1663290317808} is an apocalyptic number.

1663290317808 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 1663290317808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820823539072).

1663290317808 is an abundant number, since it is smaller than the sum of its proper divisors (3978356760336).

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

1663290317808 is a wasteful number, since it uses less digits than its factorization.

1663290317808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28402 (or 28387 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1663290317808 in words is "one trillion, six hundred sixty-three billion, two hundred ninety million, three hundred seventeen thousand, eight hundred eight".