210145216512 has 1152 divisors, whose sum is σ = 774414950400. Its totient is φ = 49958092800.

The previous prime is 210145216471. The next prime is 210145216531. The reversal of 210145216512 is 215612541012.

It is a super-2 number, since 2×210145216512² (a number of 23 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 210145216512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2361182164 + ... + 2361182252.

It is an arithmetic number, because the mean of its divisors is an integer number (672235200).

Almost surely, 2^210145216512 is an apocalyptic number.

210145216512 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 210145216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387207475200).

210145216512 is an abundant number, since it is smaller than the sum of its proper divisors (564269733888).

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

210145216512 is a wasteful number, since it uses less digits than its factorization.

210145216512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 210145216512 its reverse (215612541012), we get a palindrome (425757757524).

The spelling of 210145216512 in words is "two hundred ten billion, one hundred forty-five million, two hundred sixteen thousand, five hundred twelve".