61343222234316 has 144 divisors (see below), whose sum is σ = 159022641254400. Its totient is φ = 18389623190400.

The previous prime is 61343222234311. The next prime is 61343222234383.

61343222234316 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (61343222234311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63880411 + ... + 64833581.

It is an arithmetic number, because the mean of its divisors is an integer number (1104323897600).

Almost surely, 2^{61343222234316} is an apocalyptic number.

61343222234316 is a gapful number since it is divisible by the number (66) 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 61343222234316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79511320627200).

61343222234316 is an abundant number, since it is smaller than the sum of its proper divisors (97679419020084).

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

61343222234316 is a wasteful number, since it uses less digits than its factorization.

61343222234316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953676 (or 953663 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 6134322 and 2234316, that added together give a palindrome (8368638).

The spelling of 61343222234316 in words is "sixty-one trillion, three hundred forty-three billion, two hundred twenty-two million, two hundred thirty-four thousand, three hundred sixteen".