61465856416 has 24 divisors (see below), whose sum is σ = 122081804964. Its totient is φ = 30460953600.

The previous prime is 61465856411. The next prime is 61465856423.

61465856416 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 53185584400 + 8280272016 = 230620^2 + 90996^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (61465856411) 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 3 ways as a sum of consecutive naturals, for example, 8495535 + ... + 8502766.

Almost surely, 2^61465856416 is an apocalyptic number.

It is an amenable number.

61465856416 is a deficient number, since it is larger than the sum of its proper divisors (60615948548).

61465856416 is a wasteful number, since it uses less digits than its factorization.

61465856416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16998424 (or 16998416 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 52.

The spelling of 61465856416 in words is "sixty-one billion, four hundred sixty-five million, eight hundred fifty-six thousand, four hundred sixteen".