61162166126116 has 24 divisors (see below), whose sum is σ = 116764650525600. Its totient is φ = 27800861937600.

The previous prime is 61162166126111. The next prime is 61162166126141.

It is a happy number.

61162166126116 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61162166126116² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61162166126111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7421976 + ... + 13319536.

It is an arithmetic number, because the mean of its divisors is an integer number (4865193771900).

Almost surely, 2^{61162166126116} is an apocalyptic number.

It is an amenable number.

61162166126116 is a deficient number, since it is larger than the sum of its proper divisors (55602484399484).

61162166126116 is a wasteful number, since it uses less digits than its factorization.

61162166126116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133275 (or 6133273 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The spelling of 61162166126116 in words is "sixty-one trillion, one hundred sixty-two billion, one hundred sixty-six million, one hundred twenty-six thousand, one hundred sixteen".