2353216032 has 72 divisors (see below), whose sum is σ = 6801713100. Its totient is φ = 771540480.

The previous prime is 2353216027. The next prime is 2353216037. The reversal of 2353216032 is 2306123532.

2353216032 is a `hidden beast` number, since 2 + 3 + 53 + 2 + 1 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2353216027) and next prime (2353216037).

It can be written as a sum of positive squares in 2 ways, for example, as 2254730256 + 98485776 = 47484^2 + 9924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 2353215987 and 2353216005.

It is not an unprimeable number, because it can be changed into a prime (2353216037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49407 + ... + 84542.

Almost surely, 2^2353216032 is an apocalyptic number.

It is an amenable number.

2353216032 is an abundant number, since it is smaller than the sum of its proper divisors (4448497068).

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

2353216032 is a wasteful number, since it uses less digits than its factorization.

2353216032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134026 (or 134015 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2353216032 is about 48509.9580704828. The cubic root of 2353216032 is about 1330.1091044345.

Adding to 2353216032 its reverse (2306123532), we get a palindrome (4659339564).

The spelling of 2353216032 in words is "two billion, three hundred fifty-three million, two hundred sixteen thousand, thirty-two".