311122990656 has 315 divisors, whose sum is σ = 945074049777. Its totient is φ = 101204328960.

The previous prime is 311122990643. The next prime is 311122990657. The reversal of 311122990656 is 656099221113.

The square root of 311122990656 is 557784.

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

It can be written as a sum of positive squares in only one way, i.e., 10117141056 + 301005849600 = 100584^2 + 548640^2 .

It is not an unprimeable number, because it can be changed into a prime (311122990657) 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 44 ways as a sum of consecutive naturals, for example, 2449787265 + ... + 2449787391.

Almost surely, 2^311122990656 is an apocalyptic number.

311122990656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

311122990656 is the 557784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311122990656

311122990656 is an abundant number, since it is smaller than the sum of its proper divisors (633951059121).

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

311122990656 is an frugal number, since it uses more digits than its factorization.

311122990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 311122990656 in words is "three hundred eleven billion, one hundred twenty-two million, nine hundred ninety thousand, six hundred fifty-six".