34457614313 has 24 divisors (see below), whose sum is σ = 37860551352. Its totient is φ = 31250644992.

The previous prime is 34457614309. The next prime is 34457614327. The reversal of 34457614313 is 31341675443.

It can be written as a sum of positive squares in 12 ways, for example, as 4823024704 + 29634589609 = 69448^2 + 172147^2 .

It is not a de Polignac number, because 34457614313 - 2² = 34457614309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34457614333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8247281 + ... + 8251457.

It is an arithmetic number, because the mean of its divisors is an integer number (1577522973).

Almost surely, 2^34457614313 is an apocalyptic number.

It is an amenable number.

34457614313 is a deficient number, since it is larger than the sum of its proper divisors (3402937039).

34457614313 is a wasteful number, since it uses less digits than its factorization.

34457614313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4800 counting only the distinct ones).

The product of its digits is 362880, while the sum is 41.

The spelling of 34457614313 in words is "thirty-four billion, four hundred fifty-seven million, six hundred fourteen thousand, three hundred thirteen".