817330010112000 has 6480 divisors, whose sum is σ = 3921335090303904. Its totient is φ = 169221685248000.

The previous prime is 817330010111983. The next prime is 817330010112023. The reversal of 817330010112000 is 211010033718.

It is a happy number.

817330010112000 is a `hidden beast` number, since 81 + 73 + 300 + 1 + 0 + 11 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 431 ways as a sum of consecutive naturals, for example, 2950649855862 + ... + 2950649856138.

Almost surely, 2^{817330010112000} is an apocalyptic number.

817330010112000 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 817330010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960667545151952).

817330010112000 is an abundant number, since it is smaller than the sum of its proper divisors (3104005080191904).

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

817330010112000 is an equidigital number, since it uses as much as digits as its factorization.

817330010112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 817330010112000 its reverse (211010033718), we get a palindrome (817541020145718).

The spelling of 817330010112000 in words is "eight hundred seventeen trillion, three hundred thirty billion, ten million, one hundred twelve thousand".