311822521472 has 216 divisors, whose sum is σ = 795537745065. Its totient is φ = 121299763200.

The previous prime is 311822521447. The next prime is 311822521513. The reversal of 311822521472 is 274125228113.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 248346742336 + 63475779136 = 498344^2 + 251944^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=394856.

It is a super-3 number, since 3×311822521472³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 486462272 + ... + 486462912.

Almost surely, 2^311822521472 is an apocalyptic number.

311822521472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311822521472

311822521472 is an abundant number, since it is smaller than the sum of its proper divisors (483715223593).

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

311822521472 is an frugal number, since it uses more digits than its factorization.

311822521472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 661 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

Adding to 311822521472 its reverse (274125228113), we get a palindrome (585947749585).

The spelling of 311822521472 in words is "three hundred eleven billion, eight hundred twenty-two million, five hundred twenty-one thousand, four hundred seventy-two".