34115131545856 has 81 divisors (see below), whose sum is σ = 68445549498081. Its totient is φ = 16970701157376.

The previous prime is 34115131545853. The next prime is 34115131545899. The reversal of 34115131545856 is 65854513151143.

The square root of 34115131545856 is 5840816.

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

It can be written as a sum of positive squares in only one way, i.e., 1034044934400 + 33081086611456 = 1016880^2 + 5751616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34115131545853) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20840030670 + ... + 20840032306.

Almost surely, 2^{34115131545856} is an apocalyptic number.

34115131545856 is the 5840816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34115131545856

34115131545856 is an abundant number, since it is smaller than the sum of its proper divisors (34330417952225).

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

34115131545856 is an frugal number, since it uses more digits than its factorization.

34115131545856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 1862 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 52.

Adding to 34115131545856 its reverse (65854513151143), we get a palindrome (99969644696999).

The spelling of 34115131545856 in words is "thirty-four trillion, one hundred fifteen billion, one hundred thirty-one million, five hundred forty-five thousand, eight hundred fifty-six".