20313090576 has 225 divisors, whose sum is σ = 60993881949. Its totient is φ = 6526459008.

The previous prime is 20313090569. The next prime is 20313090593. The reversal of 20313090576 is 67509031302.

The square root of 20313090576 is 142524.

It is a perfect power (a square), and thus also a powerful number.

20313090576 is a `hidden beast` number, since 20 + 31 + 30 + 9 + 0 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18176432400 + 2136658176 = 134820^2 + 46224^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 20313090576.

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 44 ways as a sum of consecutive naturals, for example, 189841915 + ... + 189842021.

Almost surely, 2^20313090576 is an apocalyptic number.

20313090576 is the 142524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20313090576

20313090576 is an abundant number, since it is smaller than the sum of its proper divisors (40680791373).

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

20313090576 is an equidigital number, since it uses as much as digits as its factorization.

20313090576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

Multiplying 20313090576 by its sum of digits (36), we get a square (731271260736 = 855144²).

20313090576 divided by its sum of digits (36) gives a square (564252516 = 23754²).

The spelling of 20313090576 in words is "twenty billion, three hundred thirteen million, ninety thousand, five hundred seventy-six".