813718020096 has 672 divisors, whose sum is σ = 2691414967680. Its totient is φ = 241667407872.

The previous prime is 813718020083. The next prime is 813718020127. The reversal of 813718020096 is 690020817318.

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 47 ways as a sum of consecutive naturals, for example, 8388845520 + ... + 8388845616.

Almost surely, 2^813718020096 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 813718020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345707483840).

813718020096 is an abundant number, since it is smaller than the sum of its proper divisors (1877696947584).

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

813718020096 is an equidigital number, since it uses as much as digits as its factorization.

813718020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 813718020096 in words is "eight hundred thirteen billion, seven hundred eighteen million, twenty thousand, ninety-six".