61344988944316 has 72 divisors (see below), whose sum is σ = 136541204102016. Its totient is φ = 23846692877280.

The previous prime is 61344988944307. The next prime is 61344988944329.

It is a happy number.

61344988944316 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31159056 + ... + 33069271.

It is an arithmetic number, because the mean of its divisors is an integer number (1896405612528).

Almost surely, 2^{61344988944316} is an apocalyptic number.

It is an amenable number.

61344988944316 is an abundant number, since it is smaller than the sum of its proper divisors (75196215157700).

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

61344988944316 is a wasteful number, since it uses less digits than its factorization.

61344988944316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64228799 (or 64228790 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 70.

The spelling of 61344988944316 in words is "sixty-one trillion, three hundred forty-four billion, nine hundred eighty-eight million, nine hundred forty-four thousand, three hundred sixteen".