311322472944 has 240 divisors, whose sum is σ = 951848577792. Its totient is φ = 87411695616.

The previous prime is 311322472913. The next prime is 311322472949. The reversal of 311322472944 is 449274223113.

It is a super-2 number, since 2×311322472944² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 311322472896 and 311322472905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311322472949) 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 47 ways as a sum of consecutive naturals, for example, 37672557 + ... + 37680819.

Almost surely, 2^311322472944 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 311322472944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475924288896).

311322472944 is an abundant number, since it is smaller than the sum of its proper divisors (640526104848).

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

311322472944 is a wasteful number, since it uses less digits than its factorization.

311322472944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8564 (or 8551 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The spelling of 311322472944 in words is "three hundred eleven billion, three hundred twenty-two million, four hundred seventy-two thousand, nine hundred forty-four".