61465056416 has 48 divisors (see below), whose sum is σ = 125265609000. Its totient is φ = 29652983808.

The previous prime is 61465056413. The next prime is 61465056421.

61465056416 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 44461939600 + 17003116816 = 210860^2 + 130396^2 .

It is not an unprimeable number, because it can be changed into a prime (61465056413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1419860 + ... + 1462508.

Almost surely, 2^61465056416 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 61465056416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62632804500).

61465056416 is an abundant number, since it is smaller than the sum of its proper divisors (63800552584).

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

61465056416 is a wasteful number, since it uses less digits than its factorization.

61465056416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44241 (or 44233 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 61465056416 in words is "sixty-one billion, four hundred sixty-five million, fifty-six thousand, four hundred sixteen".