813538489454208 has 1728 divisors, whose sum is σ = 2969544070116000. Its totient is φ = 212562795110400.

The previous prime is 813538489454083. The next prime is 813538489454219. The reversal of 813538489454208 is 802454984835318.

813538489454208 is a `hidden beast` number, since 8 + 1 + 3 + 5 + 3 + 84 + 89 + 45 + 420 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 557600060583 + ... + 557600062041.

Almost surely, 2^{813538489454208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813538489454208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484772035058000).

813538489454208 is an abundant number, since it is smaller than the sum of its proper divisors (2156005580661792).

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

813538489454208 is a wasteful number, since it uses less digits than its factorization.

813538489454208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 813538489454208 in words is "eight hundred thirteen trillion, five hundred thirty-eight billion, four hundred eighty-nine million, four hundred fifty-four thousand, two hundred eight".