311893381800 has 2304 divisors, whose sum is σ = 1497504153600. Its totient is φ = 56086732800.

The previous prime is 311893381763. The next prime is 311893381801. The reversal of 311893381800 is 8183398113.

It is a super-2 number, since 2×311893381800² (a number of 24 digits) contains 22 as substring.

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 (311893381801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2455853337 + ... + 2455853463.

It is an arithmetic number, because the mean of its divisors is an integer number (649958400).

Almost surely, 2^311893381800 is an apocalyptic number.

311893381800 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 311893381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748752076800).

311893381800 is an abundant number, since it is smaller than the sum of its proper divisors (1185610771800).

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

311893381800 is a wasteful number, since it uses less digits than its factorization.

311893381800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 311893381800 in words is "three hundred eleven billion, eight hundred ninety-three million, three hundred eighty-one thousand, eight hundred".