216838337976000 has 4032 divisors, whose sum is σ = 922844395339776. Its totient is φ = 48252008448000.

The previous prime is 216838337975999. The next prime is 216838337976041. The reversal of 216838337976000 is 679733838612.

216838337976000 is a `hidden beast` number, since 2 + 16 + 8 + 3 + 8 + 3 + 3 + 7 + 9 + 7 + 600 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1330296551919 + ... + 1330296552081.

It is an arithmetic number, because the mean of its divisors is an integer number (228880058368).

Almost surely, 2^{216838337976000} is an apocalyptic number.

216838337976000 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 216838337976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461422197669888).

216838337976000 is an abundant number, since it is smaller than the sum of its proper divisors (706006057363776).

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

216838337976000 is a wasteful number, since it uses less digits than its factorization.

216838337976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 216838337976000 in words is "two hundred sixteen trillion, eight hundred thirty-eight billion, three hundred thirty-seven million, nine hundred seventy-six thousand".