61144656072106 has 16 divisors (see below), whose sum is σ = 92047293760968. Its totient is φ = 30462234073600.

The previous prime is 61144656072083. The next prime is 61144656072113. The reversal of 61144656072106 is 60127065644116.

61144656072106 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 4 ways, for example, as 58347369717025 + 2797286355081 = 7638545^2 + 1672509^2 .

It is a super-2 number, since 2×61144656072106² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61144656072106.

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 7 ways as a sum of consecutive naturals, for example, 10979916 + ... + 15583576.

Almost surely, 2^{61144656072106} is an apocalyptic number.

61144656072106 is a deficient number, since it is larger than the sum of its proper divisors (30902637688862).

61144656072106 is a wasteful number, since it uses less digits than its factorization.

61144656072106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627577.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 61144656072106 in words is "sixty-one trillion, one hundred forty-four billion, six hundred fifty-six million, seventy-two thousand, one hundred six".