20313228100608 has 704 divisors, whose sum is σ = 64363795453440. Its totient is φ = 6306398208000.

The previous prime is 20313228100567. The next prime is 20313228100609. The reversal of 20313228100608 is 80600182231302.

20313228100608 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 32 + 2 + 8 + 10 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20313228100609) 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 63 ways as a sum of consecutive naturals, for example, 30731055798 + ... + 30731056458.

Almost surely, 2^{20313228100608} 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 20313228100608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32181897726720).

20313228100608 is an abundant number, since it is smaller than the sum of its proper divisors (44050567352832).

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

20313228100608 is a wasteful number, since it uses less digits than its factorization.

20313228100608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20313228100608 in words is "twenty trillion, three hundred thirteen billion, two hundred twenty-eight million, one hundred thousand, six hundred eight".