213078286224 has 180 divisors, whose sum is σ = 618286159296. Its totient is φ = 68500080000.

The previous prime is 213078286177. The next prime is 213078286231. The reversal of 213078286224 is 422682870312.

213078286224 is a `hidden beast` number, since 2 + 13 + 0 + 7 + 8 + 2 + 8 + 622 + 4 = 666.

213078286224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213078286224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43034949 + ... + 43039899.

Almost surely, 2^213078286224 is an apocalyptic number.

213078286224 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 213078286224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309143079648).

213078286224 is an abundant number, since it is smaller than the sum of its proper divisors (405207873072).

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

213078286224 is a wasteful number, since it uses less digits than its factorization.

213078286224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 213078286224 in words is "two hundred thirteen billion, seventy-eight million, two hundred eighty-six thousand, two hundred twenty-four".