34368126513 has 24 divisors (see below), whose sum is σ = 53343819360. Its totient is φ = 19624872960.

The previous prime is 34368126509. The next prime is 34368126547. The reversal of 34368126513 is 31562186343.

34368126513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34368126513 - 2² = 34368126509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34368126593) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124158 + ... + 290088.

It is an arithmetic number, because the mean of its divisors is an integer number (2222659140).

Almost surely, 2^34368126513 is an apocalyptic number.

It is an amenable number.

34368126513 is a deficient number, since it is larger than the sum of its proper divisors (18975692847).

34368126513 is a wasteful number, since it uses less digits than its factorization.

34368126513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167357 (or 167350 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 34368126513 in words is "thirty-four billion, three hundred sixty-eight million, one hundred twenty-six thousand, five hundred thirteen".