213323254144 has 384 divisors, whose sum is σ = 580587264000. Its totient is φ = 75804917760.

The previous prime is 213323254099. The next prime is 213323254181. The reversal of 213323254144 is 441452323312.

It is a super-2 number, since 2×213323254144² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148243377 + ... + 148244815.

It is an arithmetic number, because the mean of its divisors is an integer number (1511946000).

Almost surely, 2^213323254144 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 213323254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290293632000).

213323254144 is an abundant number, since it is smaller than the sum of its proper divisors (367264009856).

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

213323254144 is a wasteful number, since it uses less digits than its factorization.

213323254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1561 counting only the distinct ones).

The product of its digits is 69120, while the sum is 34.

Adding to 213323254144 its reverse (441452323312), we get a palindrome (654775577456).

The spelling of 213323254144 in words is "two hundred thirteen billion, three hundred twenty-three million, two hundred fifty-four thousand, one hundred forty-four".