818166903840 has 1536 divisors, whose sum is σ = 3555411148800. Its totient is φ = 172890685440.

The previous prime is 818166903823. The next prime is 818166903889. The reversal of 818166903840 is 48309661818.

818166903840 is a `hidden beast` number, since 8 + 18 + 166 + 90 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1264554397 + ... + 1264555043.

It is an arithmetic number, because the mean of its divisors is an integer number (2314720800).

Almost surely, 2^818166903840 is an apocalyptic number.

818166903840 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 818166903840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777705574400).

818166903840 is an abundant number, since it is smaller than the sum of its proper divisors (2737244244960).

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

818166903840 is a wasteful number, since it uses less digits than its factorization.

818166903840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 818166903840 in words is "eight hundred eighteen billion, one hundred sixty-six million, nine hundred three thousand, eight hundred forty".