216117888 has 256 divisors, whose sum is σ = 703261440. Its totient is φ = 57507840.

The previous prime is 216117877. The next prime is 216117917. The reversal of 216117888 is 888711612.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4077670 + ... + 4077722.

It is an arithmetic number, because the mean of its divisors is an integer number (2747115).

Almost surely, 2^216117888 is an apocalyptic number.

216117888 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 216117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720).

216117888 is an abundant number, since it is smaller than the sum of its proper divisors (487143552).

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

216117888 is a wasteful number, since it uses less digits than its factorization.

216117888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its digits is 43008, while the sum is 42.

The square root of 216117888 is about 14700.9485408255. The cubic root of 216117888 is about 600.1091357033.

The spelling of 216117888 in words is "two hundred sixteen million, one hundred seventeen thousand, eight hundred eighty-eight".