1813263508224 has 288 divisors, whose sum is σ = 6152046243840. Its totient is φ = 516055891968.

The previous prime is 1813263508193. The next prime is 1813263508267. The reversal of 1813263508224 is 4228053623181.

1813263508224 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 2 + 635 + 0 + 8 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1813263508224.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12361777 + ... + 12507599.

It is an arithmetic number, because the mean of its divisors is an integer number (21361271680).

Almost surely, 2^{1813263508224} is an apocalyptic number.

1813263508224 is a gapful number since it is divisible by the number (14) 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 1813263508224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076023121920).

1813263508224 is an abundant number, since it is smaller than the sum of its proper divisors (4338782735616).

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

1813263508224 is a wasteful number, since it uses less digits than its factorization.

1813263508224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146112 (or 146092 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1813263508224 in words is "one trillion, eight hundred thirteen billion, two hundred sixty-three million, five hundred eight thousand, two hundred twenty-four".