311690864160 has 720 divisors, whose sum is σ = 1203781166280. Its totient is φ = 75910348800.

The previous prime is 311690864101. The next prime is 311690864161. The reversal of 311690864160 is 61468096113.

It can be written as a sum of positive squares in 12 ways, for example, as 3892262544 + 307798601616 = 62388^2 + 554796^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (311690864161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 221213536 + ... + 221214944.

Almost surely, 2^311690864160 is an apocalyptic number.

311690864160 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 311690864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601890583140).

311690864160 is an abundant number, since it is smaller than the sum of its proper divisors (892090302120).

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

311690864160 is a wasteful number, since it uses less digits than its factorization.

311690864160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 311690864160 in words is "three hundred eleven billion, six hundred ninety million, eight hundred sixty-four thousand, one hundred sixty".