61344354177 has 12 divisors (see below), whose sum is σ = 88697399700. Its totient is φ = 40855210848.

The previous prime is 61344354109. The next prime is 61344354179. The reversal of 61344354177 is 77145344316.

61344354177 is a `hidden beast` number, since 6 + 1 + 34 + 4 + 3 + 541 + 77 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47506125681 + 13838228496 = 217959^2 + 117636^2 .

It is not a de Polignac number, because 61344354177 - 2¹⁰ = 61344353153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61344354179) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3409302 + ... + 3427247.

It is an arithmetic number, because the mean of its divisors is an integer number (7391449975).

Almost surely, 2^61344354177 is an apocalyptic number.

It is an amenable number.

61344354177 is a deficient number, since it is larger than the sum of its proper divisors (27353045523).

61344354177 is a wasteful number, since it uses less digits than its factorization.

61344354177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837552 (or 6837549 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 61344354177 in words is "sixty-one billion, three hundred forty-four million, three hundred fifty-four thousand, one hundred seventy-seven".