818870217984 has 1728 divisors, whose sum is σ = 3263861293056. Its totient is φ = 198651543552.

The previous prime is 818870217941. The next prime is 818870218007. The reversal of 818870217984 is 489712078818.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6447796929 + ... + 6447797055.

Almost surely, 2^818870217984 is an apocalyptic number.

818870217984 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 818870217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631930646528).

818870217984 is an abundant number, since it is smaller than the sum of its proper divisors (2444991075072).

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

818870217984 is a wasteful number, since it uses less digits than its factorization.

818870217984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 63.

The spelling of 818870217984 in words is "eight hundred eighteen billion, eight hundred seventy million, two hundred seventeen thousand, nine hundred eighty-four".