1663081113600 has 1008 divisors, whose sum is σ = 6548486768460. Its totient is φ = 417241497600.

The previous prime is 1663081113557. The next prime is 1663081113607. The reversal of 1663081113600 is 63111803661.

1663081113600 is a `hidden beast` number, since 1 + 6 + 6 + 30 + 8 + 1 + 1 + 13 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1127538164736 + 535542948864 = 1061856^2 + 731808^2 .

It is a super-2 number, since 2×1663081113600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1663081113607) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 634520290 + ... + 634522910.

Almost surely, 2^{1663081113600} is an apocalyptic number.

1663081113600 is a gapful number since it is divisible by the number (10) 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 1663081113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274243384230).

1663081113600 is an abundant number, since it is smaller than the sum of its proper divisors (4885405654860).

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

1663081113600 is an equidigital number, since it uses as much as digits as its factorization.

1663081113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1663081113600 in words is "one trillion, six hundred sixty-three billion, eighty-one million, one hundred thirteen thousand, six hundred".