49966107961 has 27 divisors (see below), whose sum is σ = 63910202853. Its totient is φ = 38921217720.

The previous prime is 49966107959. The next prime is 49966108013. The reversal of 49966107961 is 16970166994.

The square root of 49966107961 is 223531.

It is a perfect power (a square), and thus also a powerful number.

49966107961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 49966107961 - 2¹ = 49966107959 is a prime.

It is a super-2 number, since 2×49966107961² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49966107896 and 49966107905.

It is not an unprimeable number, because it can be changed into a prime (49966105961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17210436 + ... + 17213338.

Almost surely, 2^49966107961 is an apocalyptic number.

49966107961 is the 223531-st square number.

49966107961 is the 111766-th centered octagonal number.

It is an amenable number.

49966107961 is a deficient number, since it is larger than the sum of its proper divisors (13944094892).

49966107961 is an frugal number, since it uses more digits than its factorization.

49966107961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 58.

The spelling of 49966107961 in words is "forty-nine billion, nine hundred sixty-six million, one hundred seven thousand, nine hundred sixty-one".