34561453160 has 96 divisors (see below), whose sum is σ = 84307492440. Its totient is φ = 12745654272.

The previous prime is 34561453159. The next prime is 34561453181. The reversal of 34561453160 is 6135416543.

It can be written as a sum of positive squares in 12 ways, for example, as 7692342436 + 26869110724 = 87706^2 + 163918^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6601904 + ... + 6607136.

Almost surely, 2^34561453160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34561453160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42153746220).

34561453160 is an abundant number, since it is smaller than the sum of its proper divisors (49746039280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34561453160 is a wasteful number, since it uses less digits than its factorization.

34561453160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 34561453160 in words is "thirty-four billion, five hundred sixty-one million, four hundred fifty-three thousand, one hundred sixty".