216617719009888 has 144 divisors (see below), whose sum is σ = 498163885279200. Its totient is φ = 92448883408896.

The previous prime is 216617719009819. The next prime is 216617719009891. The reversal of 216617719009888 is 888900917716612.

It is a super-2 number, since 2×216617719009888² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216617719009888.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1465549813 + ... + 1465697611.

It is an arithmetic number, because the mean of its divisors is an integer number (3459471425550).

Almost surely, 2^{216617719009888} is an apocalyptic number.

216617719009888 is a gapful number since it is divisible by the number (28) 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 216617719009888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249081942639600).

216617719009888 is an abundant number, since it is smaller than the sum of its proper divisors (281546166269312).

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

216617719009888 is a wasteful number, since it uses less digits than its factorization.

216617719009888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151717 (or 151702 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 73.

The spelling of 216617719009888 in words is "two hundred sixteen trillion, six hundred seventeen billion, seven hundred nineteen million, nine thousand, eight hundred eighty-eight".