212845244544 has 192 divisors, whose sum is σ = 637011460800. Its totient is φ = 68161443840.

The previous prime is 212845244533. The next prime is 212845244569. The reversal of 212845244544 is 445442548212.

212845244544 is a `hidden beast` number, since 2 + 1 + 2 + 84 + 5 + 24 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 212845244544.

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 23 ways as a sum of consecutive naturals, for example, 2986477 + ... + 3056915.

It is an arithmetic number, because the mean of its divisors is an integer number (3317768025).

Almost surely, 2^212845244544 is an apocalyptic number.

212845244544 is a gapful number since it is divisible by the number (24) 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 212845244544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318505730400).

212845244544 is an abundant number, since it is smaller than the sum of its proper divisors (424166216256).

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

212845244544 is a wasteful number, since it uses less digits than its factorization.

212845244544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70563 (or 70548 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 45.

The spelling of 212845244544 in words is "two hundred twelve billion, eight hundred forty-five million, two hundred forty-four thousand, five hundred forty-four".