216183185885440 has 144 divisors (see below), whose sum is σ = 526132182603888. Its totient is φ = 85091721412608.

The previous prime is 216183185885341. The next prime is 216183185885467. The reversal of 216183185885440 is 44588581381612.

It can be written as a sum of positive squares in 8 ways, for example, as 12926383427584 + 203256802457856 = 3595328^2 + 14256816^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37787922 + ... + 43131118.

It is an arithmetic number, because the mean of its divisors is an integer number (3653695712527).

Almost surely, 2^{216183185885440} is an apocalyptic number.

216183185885440 is a gapful number since it is divisible by the number (20) 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 216183185885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263066091301944).

216183185885440 is an abundant number, since it is smaller than the sum of its proper divisors (309948996718448).

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

216183185885440 is an equidigital number, since it uses as much as digits as its factorization.

216183185885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343724 (or 5343710 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 64.

The spelling of 216183185885440 in words is "two hundred sixteen trillion, one hundred eighty-three billion, one hundred eighty-five million, eight hundred eighty-five thousand, four hundred forty".