61436066769 has 243 divisors, whose sum is σ = 120776405841. Its totient is φ = 29981508480.

The previous prime is 61436066767. The next prime is 61436066803. The reversal of 61436066769 is 96766063416.

The square root of 61436066769 is 247863.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13074779025 + 48361287744 = 114345^2 + 219912^2 .

It is not a de Polignac number, because 61436066769 - 2¹ = 61436066767 is a prime.

It is a super-2 number, since 2×61436066769² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61436066767) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1660434219 + ... + 1660434255.

Almost surely, 2^61436066769 is an apocalyptic number.

61436066769 is the 247863-rd square number.

61436066769 is the 123932-nd centered octagonal number.

It is an amenable number.

61436066769 is a deficient number, since it is larger than the sum of its proper divisors (59340339072).

61436066769 is a wasteful number, since it uses less digits than its factorization.

61436066769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 61436066769 in words is "sixty-one billion, four hundred thirty-six million, sixty-six thousand, seven hundred sixty-nine".