213240478568448 has 208 divisors, whose sum is σ = 574104110184000. Its totient is φ = 70389050769408.

The previous prime is 213240478568323. The next prime is 213240478568449. The reversal of 213240478568448 is 844865874042312.

It is a super-2 number, since 2×213240478568448² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213240478568449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3614399686 + ... + 3614458682.

Almost surely, 2^{213240478568448} 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 213240478568448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287052055092000).

213240478568448 is an abundant number, since it is smaller than the sum of its proper divisors (360863631615552).

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

213240478568448 is a wasteful number, since it uses less digits than its factorization.

213240478568448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61880 (or 61858 counting only the distinct ones).

The product of its (nonzero) digits is 330301440, while the sum is 66.

The spelling of 213240478568448 in words is "two hundred thirteen trillion, two hundred forty billion, four hundred seventy-eight million, five hundred sixty-eight thousand, four hundred forty-eight".