61446664416 has 48 divisors (see below), whose sum is σ = 162894524688. Its totient is φ = 20279424000.

The previous prime is 61446664403. The next prime is 61446664421.

61446664416 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3158965 + ... + 3178356.

It is an arithmetic number, because the mean of its divisors is an integer number (3393635931).

Almost surely, 2^61446664416 is an apocalyptic number.

It is an amenable number.

61446664416 is an abundant number, since it is smaller than the sum of its proper divisors (101447860272).

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

61446664416 is a wasteful number, since it uses less digits than its factorization.

61446664416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337435 (or 6337427 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 61446664416 in words is "sixty-one billion, four hundred forty-six million, six hundred sixty-four thousand, four hundred sixteen".