34131065562 has 72 divisors (see below), whose sum is σ = 81430401780. Its totient is φ = 10324195200.

The previous prime is 34131065561. The next prime is 34131065581. The reversal of 34131065562 is 26556013143.

34131065562 is a `hidden beast` number, since 3 + 4 + 1 + 31 + 0 + 65 + 562 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32310422001 + 1820643561 = 179751^2 + 42669^2 .

It is not an unprimeable number, because it can be changed into a prime (34131065561) 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 35 ways as a sum of consecutive naturals, for example, 1225512 + ... + 1253052.

Almost surely, 2^34131065562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34131065562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40715200890).

34131065562 is an abundant number, since it is smaller than the sum of its proper divisors (47299336218).

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

34131065562 is a wasteful number, since it uses less digits than its factorization.

34131065562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28140 (or 28126 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 34131065562 in words is "thirty-four billion, one hundred thirty-one million, sixty-five thousand, five hundred sixty-two".