818399854944 has 576 divisors, whose sum is σ = 2869251840000. Its totient is φ = 220567173120.

The previous prime is 818399854931. The next prime is 818399855027. The reversal of 818399854944 is 449458993818.

818399854944 is a `hidden beast` number, since 8 + 1 + 8 + 39 + 9 + 8 + 549 + 44 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 508638012 + ... + 508639620.

It is an arithmetic number, because the mean of its divisors is an integer number (4981340000).

Almost surely, 2^818399854944 is an apocalyptic number.

818399854944 is a gapful number since it is divisible by the number (84) 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 818399854944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434625920000).

818399854944 is an abundant number, since it is smaller than the sum of its proper divisors (2050851985056).

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

818399854944 is a wasteful number, since it uses less digits than its factorization.

818399854944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1911 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 818399854944 in words is "eight hundred eighteen billion, three hundred ninety-nine million, eight hundred fifty-four thousand, nine hundred forty-four".