61340333304316 has 192 divisors, whose sum is σ = 125278252646400. Its totient is φ = 25987463712000.

The previous prime is 61340333304307. The next prime is 61340333304347.

61340333304316 is nontrivially palindromic in base 10.

It is a congruent number.

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, 10150639591 + ... + 10150645633.

It is an arithmetic number, because the mean of its divisors is an integer number (652490899200).

Almost surely, 2^{61340333304316} is an apocalyptic number.

It is an amenable number.

61340333304316 is an abundant number, since it is smaller than the sum of its proper divisors (63937919342084).

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

61340333304316 is a wasteful number, since it uses less digits than its factorization.

61340333304316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6920 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 40.

It can be divided in two parts, 6134033 and 3304316, that added together give a palindrome (9438349).

The spelling of 61340333304316 in words is "sixty-one trillion, three hundred forty billion, three hundred thirty-three million, three hundred four thousand, three hundred sixteen".