61606400460616 has 128 divisors (see below), whose sum is σ = 134218985472000. Its totient is φ = 26199353779200.

The previous prime is 61606400460571. The next prime is 61606400460637.

61606400460616 is nontrivially palindromic in base 10.

61606400460616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 204006745 + ... + 204308503.

It is an arithmetic number, because the mean of its divisors is an integer number (1048585824000).

Almost surely, 2^{61606400460616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61606400460616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67109492736000).

61606400460616 is an abundant number, since it is smaller than the sum of its proper divisors (72612585011384).

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

61606400460616 is a wasteful number, since it uses less digits than its factorization.

61606400460616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302603 (or 302599 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 61606400460616 in words is "sixty-one trillion, six hundred six billion, four hundred million, four hundred sixty thousand, six hundred sixteen".