353647228032 has 216 divisors, whose sum is σ = 1184277918915. Its totient is φ = 101001696768.

The previous prime is 353647227937. The next prime is 353647228037. The reversal of 353647228032 is 230822746353.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

353647228032 is a `hidden beast` number, since 3 + 5 + 364 + 7 + 2 + 280 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 176823614016 + 176823614016 = 420504^2 + 420504^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=420504.

It is not an unprimeable number, because it can be changed into a prime (353647228037) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 141288093 + ... + 141290595.

Almost surely, 2^353647228032 is an apocalyptic number.

353647228032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353647228032

353647228032 is an abundant number, since it is smaller than the sum of its proper divisors (830630690883).

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

353647228032 is an frugal number, since it uses more digits than its factorization.

353647228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 353647228032 in words is "three hundred fifty-three billion, six hundred forty-seven million, two hundred twenty-eight thousand, thirty-two".