334457610889409 has 16 divisors (see below), whose sum is σ = 387768004956288. Its totient is φ = 282557101005312.

The previous prime is 334457610889279. The next prime is 334457610889421. The reversal of 334457610889409 is 904988016754433.

It is a de Polignac number, because none of the positive numbers 2^k-334457610889409 is a prime.

It is a super-2 number, since 2×334457610889409² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334457610889609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1133199824 + ... + 1133494929.

It is an arithmetic number, because the mean of its divisors is an integer number (24235500309768).

Almost surely, 2^{334457610889409} is an apocalyptic number.

It is an amenable number.

334457610889409 is a deficient number, since it is larger than the sum of its proper divisors (53310394066879).

334457610889409 is a wasteful number, since it uses less digits than its factorization.

334457610889409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266695064.

The product of its (nonzero) digits is 627056640, while the sum is 71.

The spelling of 334457610889409 in words is "three hundred thirty-four trillion, four hundred fifty-seven billion, six hundred ten million, eight hundred eighty-nine thousand, four hundred nine".