57065465745 has 24 divisors (see below), whose sum is σ = 101586814056. Its totient is φ = 29612348928.

The previous prime is 57065465729. The next prime is 57065465767. The reversal of 57065465745 is 54756456075.

It is a happy number.

57065465745 is a `hidden beast` number, since 5 + 7 + 0 + 6 + 546 + 57 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30598405776 + 26467059969 = 174924^2 + 162687^2 .

It is not a de Polignac number, because 57065465745 - 2⁴ = 57065465729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57065465691 and 57065465700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17135112 + ... + 17138441.

It is an arithmetic number, because the mean of its divisors is an integer number (4232783919).

Almost surely, 2^57065465745 is an apocalyptic number.

It is an amenable number.

57065465745 is a deficient number, since it is larger than the sum of its proper divisors (44521348311).

57065465745 is a wasteful number, since it uses less digits than its factorization.

57065465745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34273601 (or 34273598 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 57065465745 in words is "fifty-seven billion, sixty-five million, four hundred sixty-five thousand, seven hundred forty-five".