311647340544 has 96 divisors (see below), whose sum is σ = 831537252000. Its totient is φ = 103797358592.

The previous prime is 311647340531. The next prime is 311647340549. The reversal of 311647340544 is 445043746113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 311647340496 and 311647340505.

It is not an unprimeable number, because it can be changed into a prime (311647340549) 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 7 ways as a sum of consecutive naturals, for example, 7715152 + ... + 7755440.

It is an arithmetic number, because the mean of its divisors is an integer number (8661846375).

Almost surely, 2^311647340544 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 311647340544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415768626000).

311647340544 is an abundant number, since it is smaller than the sum of its proper divisors (519889911456).

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

311647340544 is a wasteful number, since it uses less digits than its factorization.

311647340544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41573 (or 41553 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 311647340544 in words is "three hundred eleven billion, six hundred forty-seven million, three hundred forty thousand, five hundred forty-four".