311998848 has 256 divisors, whose sum is σ = 1028160000. Its totient is φ = 81838080.

The previous prime is 311998823. The next prime is 311998871. The reversal of 311998848 is 848899113.

It is a self number, because there is not a number n which added to its sum of digits gives 311998848.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2093878 + ... + 2094026.

It is an arithmetic number, because the mean of its divisors is an integer number (4016250).

Almost surely, 2^311998848 is an apocalyptic number.

311998848 is a gapful number since it is divisible by the number (38) 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 311998848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080000).

311998848 is an abundant number, since it is smaller than the sum of its proper divisors (716161152).

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

311998848 is a wasteful number, since it uses less digits than its factorization.

311998848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its digits is 497664, while the sum is 51.

The square root of 311998848 is about 17663.4891230470. The cubic root of 311998848 is about 678.2414538421.

The spelling of 311998848 in words is "three hundred eleven million, nine hundred ninety-eight thousand, eight hundred forty-eight".