353434479810048 has 1920 divisors, whose sum is σ = 1312017887980800. Its totient is φ = 90987311923200.

The previous prime is 353434479810043. The next prime is 353434479810077. The reversal of 353434479810048 is 840018974434353.

353434479810048 is a `hidden beast` number, since 3 + 5 + 3 + 43 + 4 + 479 + 81 + 0 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353434479810043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151493560690 + ... + 151493563022.

It is an arithmetic number, because the mean of its divisors is an integer number (683342649990).

Almost surely, 2^{353434479810048} 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 353434479810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656008943990400).

353434479810048 is an abundant number, since it is smaller than the sum of its proper divisors (958583408170752).

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

353434479810048 is a wasteful number, since it uses less digits than its factorization.

353434479810048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 353434479810048 in words is "three hundred fifty-three trillion, four hundred thirty-four billion, four hundred seventy-nine million, eight hundred ten thousand, forty-eight".