20302816032 has 144 divisors (see below), whose sum is σ = 61203182040. Its totient is φ = 6362136576.

The previous prime is 20302816021. The next prime is 20302816043. The reversal of 20302816032 is 23061820302.

20302816032 is a `hidden beast` number, since 2 + 0 + 30 + 28 + 1 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20302816021) and next prime (20302816043).

It can be written as a sum of positive squares in 4 ways, for example, as 10791885456 + 9510930576 = 103884^2 + 97524^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 20302815987 and 20302816005.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5525748 + ... + 5529420.

Almost surely, 2^20302816032 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 20302816032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30601591020).

20302816032 is an abundant number, since it is smaller than the sum of its proper divisors (40900366008).

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

20302816032 is a wasteful number, since it uses less digits than its factorization.

20302816032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 20302816032 in words is "twenty billion, three hundred two million, eight hundred sixteen thousand, thirty-two".