1261628116461 has 24 divisors (see below), whose sum is σ = 1911743458560. Its totient is φ = 800644672800.

The previous prime is 1261628116459. The next prime is 1261628116517. The reversal of 1261628116461 is 1646118261621.

1261628116461 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 628 + 1 + 16 + 4 + 6 + 1 = 666.

It is not a de Polignac number, because 1261628116461 - 2¹ = 1261628116459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261628116451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34022485 + ... + 34059546.

It is an arithmetic number, because the mean of its divisors is an integer number (79655977440).

Almost surely, 2^{1261628116461} is an apocalyptic number.

It is an amenable number.

1261628116461 is a deficient number, since it is larger than the sum of its proper divisors (650115342099).

1261628116461 is a wasteful number, since it uses less digits than its factorization.

1261628116461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68082137 (or 68082134 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 1261628116461 in words is "one trillion, two hundred sixty-one billion, six hundred twenty-eight million, one hundred sixteen thousand, four hundred sixty-one".