213282920448 has 768 divisors, whose sum is σ = 744978124800. Its totient is φ = 59666595840.

The previous prime is 213282920441. The next prime is 213282920467. The reversal of 213282920448 is 844029282312.

213282920448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213282920441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 378832615 + ... + 378833177.

It is an arithmetic number, because the mean of its divisors is an integer number (970023600).

Almost surely, 2^213282920448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213282920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372489062400).

213282920448 is an abundant number, since it is smaller than the sum of its proper divisors (531695204352).

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

213282920448 is a wasteful number, since it uses less digits than its factorization.

213282920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 213282920448 in words is "two hundred thirteen billion, two hundred eighty-two million, nine hundred twenty thousand, four hundred forty-eight".