45695315148561 has 135 divisors (see below), whose sum is σ = 72954269059581. Its totient is φ = 27561291110496.

The previous prime is 45695315148547. The next prime is 45695315148629. The reversal of 45695315148561 is 16584151359654.

The square root of 45695315148561 is 6759831.

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

45695315148561 is a `hidden beast` number, since 4 + 5 + 6 + 9 + 5 + 31 + 514 + 85 + 6 + 1 = 666.

45695315148561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22656467134161 + 23038848014400 = 4759881^2 + 4799880^2 .

It is a de Polignac number, because none of the positive numbers 2^k-45695315148561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45695315148521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 229624699140 + ... + 229624699338.

Almost surely, 2^{45695315148561} is an apocalyptic number.

45695315148561 is the 6759831-st square number.

45695315148561 is the 3379916-th centered octagonal number.

It is an amenable number.

45695315148561 is a deficient number, since it is larger than the sum of its proper divisors (27258953911020).

45695315148561 is an frugal number, since it uses more digits than its factorization.

45695315148561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 282 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 63.

The spelling of 45695315148561 in words is "forty-five trillion, six hundred ninety-five billion, three hundred fifteen million, one hundred forty-eight thousand, five hundred sixty-one".