216183896248320 has 4160 divisors, whose sum is σ = 1051629347704320. Its totient is φ = 41023438848000.

The previous prime is 216183896248259. The next prime is 216183896248343. The reversal of 216183896248320 is 23842698381612.

216183896248320 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 8 + 389 + 6 + 248 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a super-2 number, since 2×216183896248320² (a number of 29 digits) contains 22 as substring.

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

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 319 ways as a sum of consecutive naturals, for example, 167714426236 + ... + 167714427524.

Almost surely, 2^{216183896248320} is an apocalyptic number.

216183896248320 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 216183896248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525814673852160).

216183896248320 is an abundant number, since it is smaller than the sum of its proper divisors (835445451456000).

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

216183896248320 is a wasteful number, since it uses less digits than its factorization.

216183896248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 216183896248320 in words is "two hundred sixteen trillion, one hundred eighty-three billion, eight hundred ninety-six million, two hundred forty-eight thousand, three hundred twenty".