61464222246416 has 30 divisors (see below), whose sum is σ = 130897204715886. Its totient is φ = 27938282838400.

The previous prime is 61464222246389. The next prime is 61464222246463.

It is a happy number.

61464222246416 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 42981136000000 + 18483086246416 = 6556000^2 + 4299196^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15874022405 + ... + 15874026276.

Almost surely, 2^{61464222246416} is an apocalyptic number.

It is an amenable number.

61464222246416 is an abundant number, since it is smaller than the sum of its proper divisors (69432982469470).

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

61464222246416 is a wasteful number, since it uses less digits than its factorization.

61464222246416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31748048711 (or 31748048694 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 50.

The spelling of 61464222246416 in words is "sixty-one trillion, four hundred sixty-four billion, two hundred twenty-two million, two hundred forty-six thousand, four hundred sixteen".