216466848000 has 1728 divisors, whose sum is σ = 940138617600. Its totient is φ = 47244902400.

The previous prime is 216466847963. The next prime is 216466848007. The reversal of 216466848000 is 848664612.

216466848000 is a `hidden beast` number, since 2 + 164 + 6 + 6 + 8 + 480 + 0 + 0 = 666.

It is a super-3 number, since 3×216466848000³ (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (216466848007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1209311911 + ... + 1209312089.

It is an arithmetic number, because the mean of its divisors is an integer number (544061700).

Almost surely, 2^216466848000 is an apocalyptic number.

216466848000 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 216466848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470069308800).

216466848000 is an abundant number, since it is smaller than the sum of its proper divisors (723671769600).

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

216466848000 is a wasteful number, since it uses less digits than its factorization.

216466848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 216466848000 in words is "two hundred sixteen billion, four hundred sixty-six million, eight hundred forty-eight thousand".