311277068460960 has 192 divisors, whose sum is σ = 1120855760640000. Its totient is φ = 71132643320832.

The previous prime is 311277068460829. The next prime is 311277068460961. The reversal of 311277068460960 is 69064860772113.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 311277068460894 and 311277068460903.

It is not an unprimeable number, because it can be changed into a prime (311277068460961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3903541 + ... + 25254539.

It is an arithmetic number, because the mean of its divisors is an integer number (5837790420000).

Almost surely, 2^{311277068460960} is an apocalyptic number.

311277068460960 is a gapful number since it is divisible by the number (30) 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 311277068460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560427880320000).

311277068460960 is an abundant number, since it is smaller than the sum of its proper divisors (809578692179040).

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

311277068460960 is a wasteful number, since it uses less digits than its factorization.

311277068460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21355363 (or 21355355 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 311277068460960 in words is "three hundred eleven trillion, two hundred seventy-seven billion, sixty-eight million, four hundred sixty thousand, nine hundred sixty".