216481106119320 has 2048 divisors, whose sum is σ = 890295017472000. Its totient is φ = 45747265536000.

The previous prime is 216481106119307. The next prime is 216481106119409. The reversal of 216481106119320 is 23911601184612.

216481106119320 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 8 + 1 + 1 + 0 + 611 + 9 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 157670142154 + ... + 157670143526.

It is an arithmetic number, because the mean of its divisors is an integer number (434714364000).

Almost surely, 2^{216481106119320} is an apocalyptic number.

216481106119320 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 216481106119320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445147508736000).

216481106119320 is an abundant number, since it is smaller than the sum of its proper divisors (673813911352680).

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

216481106119320 is a wasteful number, since it uses less digits than its factorization.

216481106119320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 216481106119320 in words is "two hundred sixteen trillion, four hundred eighty-one billion, one hundred six million, one hundred nineteen thousand, three hundred twenty".