311364613123160 has 128 divisors (see below), whose sum is σ = 741066197114880. Its totient is φ = 117495371271168.

The previous prime is 311364613123159. The next prime is 311364613123231. The reversal of 311364613123160 is 61321316463113.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3813505457 + ... + 3813587103.

It is an arithmetic number, because the mean of its divisors is an integer number (5789579664960).

Almost surely, 2^{311364613123160} 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 311364613123160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370533098557440).

311364613123160 is an abundant number, since it is smaller than the sum of its proper divisors (429701583991720).

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

311364613123160 is a wasteful number, since it uses less digits than its factorization.

311364613123160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138537 (or 138533 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

Adding to 311364613123160 its reverse (61321316463113), we get a palindrome (372685929586273).

The spelling of 311364613123160 in words is "three hundred eleven trillion, three hundred sixty-four billion, six hundred thirteen million, one hundred twenty-three thousand, one hundred sixty".