213344626443312 has 640 divisors, whose sum is σ = 724686017126400. Its totient is φ = 52513290289152.

The previous prime is 213344626443301. The next prime is 213344626443359.

213344626443312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2431538739 + ... + 2431626477.

It is an arithmetic number, because the mean of its divisors is an integer number (1132321901760).

Almost surely, 2^{213344626443312} 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 213344626443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362343008563200).

213344626443312 is an abundant number, since it is smaller than the sum of its proper divisors (511341390683088).

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

213344626443312 is a wasteful number, since it uses less digits than its factorization.

213344626443312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88225 (or 88219 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 48.

The spelling of 213344626443312 in words is "two hundred thirteen trillion, three hundred forty-four billion, six hundred twenty-six million, four hundred forty-three thousand, three hundred twelve".