1813497735168 has 480 divisors, whose sum is σ = 6459859486080. Its totient is φ = 495606988800.

The previous prime is 1813497735167. The next prime is 1813497735223. The reversal of 1813497735168 is 8615377943181.

1813497735168 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 49 + 7 + 73 + 516 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1813497735163) 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 39 ways as a sum of consecutive naturals, for example, 26674018 + ... + 26741918.

It is an arithmetic number, because the mean of its divisors is an integer number (13458040596).

Almost surely, 2^{1813497735168} is an apocalyptic number.

1813497735168 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 1813497735168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229929743040).

1813497735168 is an abundant number, since it is smaller than the sum of its proper divisors (4646361750912).

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

1813497735168 is an equidigital number, since it uses as much as digits as its factorization.

1813497735168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67965 (or 67936 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 1813497735168 in words is "one trillion, eight hundred thirteen billion, four hundred ninety-seven million, seven hundred thirty-five thousand, one hundred sixty-eight".