1561146451461 has 40 divisors (see below), whose sum is σ = 2347958400480. Its totient is φ = 1033701352992.

The previous prime is 1561146451439. The next prime is 1561146451463. The reversal of 1561146451461 is 1641546411651.

1561146451461 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 14 + 64 + 514 + 61 = 666.

It is not a de Polignac number, because 1561146451461 - 2¹⁵ = 1561146418693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561146451463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7602835 + ... + 7805471.

It is an arithmetic number, because the mean of its divisors is an integer number (58698960012).

Almost surely, 2^{1561146451461} is an apocalyptic number.

It is an amenable number.

1561146451461 is a deficient number, since it is larger than the sum of its proper divisors (786811949019).

1561146451461 is a wasteful number, since it uses less digits than its factorization.

1561146451461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203295 (or 203286 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 1561146451461 in words is "one trillion, five hundred sixty-one billion, one hundred forty-six million, four hundred fifty-one thousand, four hundred sixty-one".