34441057466657 has 32 divisors (see below), whose sum is σ = 36648390332160. Its totient is φ = 32296005068800.

The previous prime is 34441057466623. The next prime is 34441057466681. The reversal of 34441057466657 is 75666475014443.

It is a cyclic number.

It is not a de Polignac number, because 34441057466657 - 2³⁶ = 34372337989921 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34441057466657.

It is not an unprimeable number, because it can be changed into a prime (34441057469657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3208888463 + ... + 3208899195.

It is an arithmetic number, because the mean of its divisors is an integer number (1145262197880).

Almost surely, 2^{34441057466657} is an apocalyptic number.

It is an amenable number.

34441057466657 is a deficient number, since it is larger than the sum of its proper divisors (2207332865503).

34441057466657 is a wasteful number, since it uses less digits than its factorization.

34441057466657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17113.

The product of its (nonzero) digits is 203212800, while the sum is 62.

The spelling of 34441057466657 in words is "thirty-four trillion, four hundred forty-one billion, fifty-seven million, four hundred sixty-six thousand, six hundred fifty-seven".