353664356448 has 96 divisors (see below), whose sum is σ = 1000256457312. Its totient is φ = 108768153600.

The previous prime is 353664356447. The next prime is 353664356453. The reversal of 353664356448 is 844653466353.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353664356447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2605788 + ... + 2738148.

It is an arithmetic number, because the mean of its divisors is an integer number (10419338097).

Almost surely, 2^353664356448 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 353664356448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500128228656).

353664356448 is an abundant number, since it is smaller than the sum of its proper divisors (646592100864).

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

353664356448 is a wasteful number, since it uses less digits than its factorization.

353664356448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134528 (or 134520 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 57.

The spelling of 353664356448 in words is "three hundred fifty-three billion, six hundred sixty-four million, three hundred fifty-six thousand, four hundred forty-eight".