34201332646625 has 16 divisors (see below), whose sum is σ = 42683630717520. Its totient is φ = 27360830492800.

The previous prime is 34201332646619. The next prime is 34201332646633. The reversal of 34201332646625 is 52664623310243.

It can be written as a sum of positive squares in 8 ways, for example, as 5905560978496 + 28295771668129 = 2430136^2 + 5319377^2 .

It is not a de Polignac number, because 34201332646625 - 2⁴ = 34201332646609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34201332646625.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14194247 + ... + 16428003.

It is an arithmetic number, because the mean of its divisors is an integer number (2667726919845).

Almost surely, 2^{34201332646625} is an apocalyptic number.

It is an amenable number.

34201332646625 is a deficient number, since it is larger than the sum of its proper divisors (8482298070895).

34201332646625 is a wasteful number, since it uses less digits than its factorization.

34201332646625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356261 (or 2356251 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 47.

Adding to 34201332646625 its reverse (52664623310243), we get a palindrome (86865955956868).

The spelling of 34201332646625 in words is "thirty-four trillion, two hundred one billion, three hundred thirty-two million, six hundred forty-six thousand, six hundred twenty-five".