311449444992 has 384 divisors, whose sum is σ = 1048364029440. Its totient is φ = 86900097024.

The previous prime is 311449444939. The next prime is 311449445003. The reversal of 311449444992 is 299444944113.

It is a happy number.

311449444992 is a `hidden beast` number, since 3 + 1 + 144 + 9 + 4 + 4 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332389548 + ... + 332390484.

It is an arithmetic number, because the mean of its divisors is an integer number (2730114660).

Almost surely, 2^311449444992 is an apocalyptic number.

311449444992 is a gapful number since it is divisible by the number (32) 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 311449444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524182014720).

311449444992 is an abundant number, since it is smaller than the sum of its proper divisors (736914584448).

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

311449444992 is a wasteful number, since it uses less digits than its factorization.

311449444992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1873 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 311449444992 in words is "three hundred eleven billion, four hundred forty-nine million, four hundred forty-four thousand, nine hundred ninety-two".