216688008040192 has 432 divisors, whose sum is σ = 502237166618880. Its totient is φ = 93054586060800.

The previous prime is 216688008040129. The next prime is 216688008040201. The reversal of 216688008040192 is 291040800886612.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9373523418 + ... + 9373546534.

It is an arithmetic number, because the mean of its divisors is an integer number (1162586033840).

Almost surely, 2^{216688008040192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216688008040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251118583309440).

216688008040192 is an abundant number, since it is smaller than the sum of its proper divisors (285549158578688).

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

216688008040192 is a wasteful number, since it uses less digits than its factorization.

216688008040192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23460 (or 23433 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 216688008040192 in words is "two hundred sixteen trillion, six hundred eighty-eight billion, eight million, forty thousand, one hundred ninety-two".