61284648216 has 96 divisors (see below), whose sum is σ = 173838873600. Its totient is φ = 17972011200.

The previous prime is 61284648203. The next prime is 61284648349.

61284648216 is nontrivially palindromic in base 10.

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 23 ways as a sum of consecutive naturals, for example, 250356 + ... + 430403.

It is an arithmetic number, because the mean of its divisors is an integer number (1810821600).

Almost surely, 2^61284648216 is an apocalyptic number.

61284648216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61284648216 is an abundant number, since it is smaller than the sum of its proper divisors (112554225384).

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

61284648216 is a wasteful number, since it uses less digits than its factorization.

61284648216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680821 (or 680806 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The spelling of 61284648216 in words is "sixty-one billion, two hundred eighty-four million, six hundred forty-eight thousand, two hundred sixteen".