216103168512 has 1600 divisors, whose sum is σ = 866995937280. Its totient is φ = 51956121600.

The previous prime is 216103168493. The next prime is 216103168517. The reversal of 216103168512 is 215861301612.

216103168512 is a `hidden beast` number, since 2 + 1 + 610 + 31 + 6 + 8 + 5 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216103168517) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 3662765539 + ... + 3662765597.

Almost surely, 2^216103168512 is an apocalyptic number.

216103168512 is a gapful number since it is divisible by the number (22) 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 216103168512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433497968640).

216103168512 is an abundant number, since it is smaller than the sum of its proper divisors (650892768768).

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

216103168512 is a wasteful number, since it uses less digits than its factorization.

216103168512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 216103168512 in words is "two hundred sixteen billion, one hundred three million, one hundred sixty-eight thousand, five hundred twelve".