813342816000 has 2304 divisors, whose sum is σ = 3664129996800. Its totient is φ = 174956544000.

The previous prime is 813342815983. The next prime is 813342816031. The reversal of 813342816000 is 618243318.

813342816000 is a `hidden beast` number, since 8 + 1 + 3 + 3 + 42 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 3583007887 + ... + 3583008113.

It is an arithmetic number, because the mean of its divisors is an integer number (1590334200).

Almost surely, 2^813342816000 is an apocalyptic number.

813342816000 is a gapful number since it is divisible by the number (80) 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 813342816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832064998400).

813342816000 is an abundant number, since it is smaller than the sum of its proper divisors (2850787180800).

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

813342816000 is a wasteful number, since it uses less digits than its factorization.

813342816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 813342816000 in words is "eight hundred thirteen billion, three hundred forty-two million, eight hundred sixteen thousand".