216311467680 has 1152 divisors, whose sum is σ = 982249390080. Its totient is φ = 43475097600.

The previous prime is 216311467661. The next prime is 216311467699. The reversal of 216311467680 is 86764113612.

216311467680 is a `hidden beast` number, since 2 + 1 + 631 + 1 + 4 + 6 + 7 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216311467661) and next prime (216311467699).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113429287 + ... + 113431193.

It is an arithmetic number, because the mean of its divisors is an integer number (852647040).

Almost surely, 2^216311467680 is an apocalyptic number.

216311467680 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 216311467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491124695040).

216311467680 is an abundant number, since it is smaller than the sum of its proper divisors (765937922400).

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

216311467680 is a wasteful number, since it uses less digits than its factorization.

216311467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 216311467680 in words is "two hundred sixteen billion, three hundred eleven million, four hundred sixty-seven thousand, six hundred eighty".