813387393000 has 2048 divisors, whose sum is σ = 3663249408000. Its totient is φ = 162362880000.

The previous prime is 813387392989. The next prime is 813387393121. The reversal of 813387393000 is 393783318.

813387393000 is a `hidden beast` number, since 8 + 1 + 338 + 7 + 3 + 9 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4493852910 + ... + 4493853090.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696000).

Almost surely, 2^813387393000 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 813387393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831624704000).

813387393000 is an abundant number, since it is smaller than the sum of its proper divisors (2849862015000).

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

813387393000 is a wasteful number, since it uses less digits than its factorization.

813387393000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 813387393000 in words is "eight hundred thirteen billion, three hundred eighty-seven million, three hundred ninety-three thousand".