341609097233664 has 432 divisors, whose sum is σ = 1100112060151104. Its totient is φ = 105099171840000.

The previous prime is 341609097233603. The next prime is 341609097233669. The reversal of 341609097233664 is 466332790906143.

It is a happy number.

341609097233664 is a `hidden beast` number, since 3 + 4 + 160 + 9 + 0 + 97 + 23 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341609097233669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10513944459 + ... + 10513976949.

Almost surely, 2^{341609097233664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341609097233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550056030075552).

341609097233664 is an abundant number, since it is smaller than the sum of its proper divisors (758502962917440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

341609097233664 is a wasteful number, since it uses less digits than its factorization.

341609097233664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45536 (or 45510 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 63.

The spelling of 341609097233664 in words is "three hundred forty-one trillion, six hundred nine billion, ninety-seven million, two hundred thirty-three thousand, six hundred sixty-four".