216698491658880 has 8064 divisors, whose sum is σ = 1084671374976000. Its totient is φ = 41282273894400.

The previous prime is 216698491658819. The next prime is 216698491658881. The reversal of 216698491658880 is 88856194896612.

216698491658880 is a `hidden beast` number, since 2 + 1 + 6 + 69 + 8 + 491 + 65 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 216698491658880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216698491658881) by changing a digit.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 6990273924465 + ... + 6990273924495.

It is an arithmetic number, because the mean of its divisors is an integer number (134507859000).

Almost surely, 2^{216698491658880} is an apocalyptic number.

216698491658880 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 216698491658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542335687488000).

216698491658880 is an abundant number, since it is smaller than the sum of its proper divisors (867972883317120).

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

216698491658880 is an equidigital number, since it uses as much as digits as its factorization.

216698491658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2866544640, while the sum is 81.

The spelling of 216698491658880 in words is "two hundred sixteen trillion, six hundred ninety-eight billion, four hundred ninety-one million, six hundred fifty-eight thousand, eight hundred eighty".