216942123888 has 240 divisors, whose sum is σ = 724534626816. Its totient is φ = 59247936000.

The previous prime is 216942123887. The next prime is 216942123901. The reversal of 216942123888 is 888321249612.

216942123888 is a `hidden beast` number, since 216 + 9 + 42 + 1 + 2 + 388 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216942123887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52185106 + ... + 52189262.

Almost surely, 2^216942123888 is an apocalyptic number.

216942123888 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 216942123888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362267313408).

216942123888 is an abundant number, since it is smaller than the sum of its proper divisors (507592502928).

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

216942123888 is a wasteful number, since it uses less digits than its factorization.

216942123888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6443 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 216942123888 in words is "two hundred sixteen billion, nine hundred forty-two million, one hundred twenty-three thousand, eight hundred eighty-eight".