61206444460216 has 64 divisors (see below), whose sum is σ = 125484586577280. Its totient is φ = 27756832414080.

The previous prime is 61206444460207. The next prime is 61206444460219.

61206444460216 is nontrivially palindromic in base 10.

61206444460216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61206444460219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65958031 + ... + 66879553.

It is an arithmetic number, because the mean of its divisors is an integer number (1960696665270).

Almost surely, 2^{61206444460216} is an apocalyptic number.

It is an amenable number.

61206444460216 is an abundant number, since it is smaller than the sum of its proper divisors (64278142117064).

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

61206444460216 is a wasteful number, since it uses less digits than its factorization.

61206444460216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923284 (or 923280 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 61206444460216 in words is "sixty-one trillion, two hundred six billion, four hundred forty-four million, four hundred sixty thousand, two hundred sixteen".