63742165345 has 16 divisors (see below), whose sum is σ = 78809507280. Its totient is φ = 49469415424.

The previous prime is 63742165309. The next prime is 63742165369. The reversal of 63742165345 is 54356124736.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 713050209 + 63029115136 = 26703^2 + 251056^2 .

It is a cyclic number.

It is not a de Polignac number, because 63742165345 - 2¹¹ = 63742163297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 63742165295 and 63742165304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1327744 + ... + 1374913.

It is an arithmetic number, because the mean of its divisors is an integer number (4925594205).

Almost surely, 2^63742165345 is an apocalyptic number.

It is an amenable number.

63742165345 is a deficient number, since it is larger than the sum of its proper divisors (15067341935).

63742165345 is a wasteful number, since it uses less digits than its factorization.

63742165345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702804.

The product of its digits is 1814400, while the sum is 46.

The spelling of 63742165345 in words is "sixty-three billion, seven hundred forty-two million, one hundred sixty-five thousand, three hundred forty-five".