61326311362316 has 192 divisors, whose sum is σ = 149486573537280. Its totient is φ = 21234545418240.

The previous prime is 61326311362289. The next prime is 61326311362331.

It is a happy number.

61326311362316 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40240865 + ... + 41737031.

It is an arithmetic number, because the mean of its divisors is an integer number (778575903840).

Almost surely, 2^{61326311362316} 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 61326311362316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74743286768640).

61326311362316 is an abundant number, since it is smaller than the sum of its proper divisors (88160262174964).

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

61326311362316 is a wasteful number, since it uses less digits than its factorization.

61326311362316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496584 (or 1496582 counting only the distinct ones).

The product of its digits is 419904, while the sum is 44.

It can be divided in two parts, 6132631 and 1362316, that added together give a palindrome (7494947).

The spelling of 61326311362316 in words is "sixty-one trillion, three hundred twenty-six billion, three hundred eleven million, three hundred sixty-two thousand, three hundred sixteen".