353599344432 has 160 divisors (see below), whose sum is σ = 1044158169600. Its totient is φ = 114519045888.

The previous prime is 353599344421. The next prime is 353599344433. The reversal of 353599344432 is 234443995353.

353599344432 is a `hidden beast` number, since 3 + 5 + 3 + 599 + 3 + 4 + 4 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (353599344433) 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 31 ways as a sum of consecutive naturals, for example, 2283319 + ... + 2433257.

It is an arithmetic number, because the mean of its divisors is an integer number (6525988560).

Almost surely, 2^353599344432 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 353599344432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522079084800).

353599344432 is an abundant number, since it is smaller than the sum of its proper divisors (690558825168).

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

353599344432 is a wasteful number, since it uses less digits than its factorization.

353599344432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150112 (or 150100 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 54.

The spelling of 353599344432 in words is "three hundred fifty-three billion, five hundred ninety-nine million, three hundred forty-four thousand, four hundred thirty-two".