311752489104 has 675 divisors, whose sum is σ = 1127273639583. Its totient is φ = 80187706368.

The previous prime is 311752489067. The next prime is 311752489109. The reversal of 311752489104 is 401984257113.

The square root of 311752489104 is 558348.

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

311752489104 is a `hidden beast` number, since 3 + 1 + 17 + 52 + 489 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96753346704 + 214999142400 = 311052^2 + 463680^2 .

It is a super-2 number, since 2×311752489104² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311752489104.

It is not an unprimeable number, because it can be changed into a prime (311752489109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13554456037 + ... + 13554456059.

Almost surely, 2^311752489104 is an apocalyptic number.

311752489104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

311752489104 is the 558348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311752489104

311752489104 is an abundant number, since it is smaller than the sum of its proper divisors (815521150479).

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

311752489104 is an equidigital number, since it uses as much as digits as its factorization.

311752489104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 311752489104 in words is "three hundred eleven billion, seven hundred fifty-two million, four hundred eighty-nine thousand, one hundred four".