34560457657 has 12 divisors (see below), whose sum is σ = 38004371748. Its totient is φ = 31405008800.

The previous prime is 34560457637. The next prime is 34560457681. The reversal of 34560457657 is 75675406543.

It can be written as a sum of positive squares in 2 ways, for example, as 17894680441 + 16665777216 = 133771^2 + 129096^2 .

It is a de Polignac number, because none of the positive numbers 2^k-34560457657 is a prime.

It is a super-2 number, since 2×34560457657² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34560457627) 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, 224607 + ... + 345787.

It is an arithmetic number, because the mean of its divisors is an integer number (3167030979).

Almost surely, 2^34560457657 is an apocalyptic number.

It is an amenable number.

34560457657 is a deficient number, since it is larger than the sum of its proper divisors (3443914091).

34560457657 is a wasteful number, since it uses less digits than its factorization.

34560457657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123560 (or 123549 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 52.

The spelling of 34560457657 in words is "thirty-four billion, five hundred sixty million, four hundred fifty-seven thousand, six hundred fifty-seven".