61344355344316 has 24 divisors (see below), whose sum is σ = 117112149907200. Its totient is φ = 27883750551600.

The previous prime is 61344355344287. The next prime is 61344355344317.

61344355344316 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61344355344317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48020835 + ... + 49281733.

It is an arithmetic number, because the mean of its divisors is an integer number (4879672912800).

Almost surely, 2^{61344355344316} is an apocalyptic number.

It is an amenable number.

61344355344316 is a deficient number, since it is larger than the sum of its proper divisors (55767794562884).

61344355344316 is a wasteful number, since it uses less digits than its factorization.

61344355344316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366625 (or 2366623 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 52.

The spelling of 61344355344316 in words is "sixty-one trillion, three hundred forty-four billion, three hundred fifty-five million, three hundred forty-four thousand, three hundred sixteen".