61412212540116 has 18 divisors (see below), whose sum is σ = 155236426143162. Its totient is φ = 20470737513360.

The previous prime is 61412212540111. The next prime is 61412212540123. The reversal of 61412212540116 is 61104521221416.

61412212540116 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 221 + 25 + 401 + 1 + 6 = 666.

61412212540116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34594936008516 + 26817276531600 = 5881746^2 + 5178540^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1705894792781 = 61412212540116 / (6 + 1 + 4 + 1 + 2 + 2 + 1 + 2 + 5 + 4 + 0 + 1 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61412212540111) 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 5 ways as a sum of consecutive naturals, for example, 852947396355 + ... + 852947396426.

Almost surely, 2^{61412212540116} is an apocalyptic number.

It is an amenable number.

61412212540116 is an abundant number, since it is smaller than the sum of its proper divisors (93824213603046).

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

61412212540116 is a wasteful number, since it uses less digits than its factorization.

61412212540116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705894792791 (or 1705894792786 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 61412212540116 in words is "sixty-one trillion, four hundred twelve billion, two hundred twelve million, five hundred forty thousand, one hundred sixteen".