312114816 has 128 divisors (see below), whose sum is σ = 992174400. Its totient is φ = 96021504.

The previous prime is 312114797. The next prime is 312114839. The reversal of 312114816 is 618411213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 312114816.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41455 + ... + 48401.

Almost surely, 2^312114816 is an apocalyptic number.

312114816 is a gapful number since it is divisible by the number (36) 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 312114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496087200).

312114816 is an abundant number, since it is smaller than the sum of its proper divisors (680059584).

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

312114816 is a wasteful number, since it uses less digits than its factorization.

312114816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6965 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 312114816 is about 17666.7715217014. The cubic root of 312114816 is about 678.3254761201.

The spelling of 312114816 in words is "three hundred twelve million, one hundred fourteen thousand, eight hundred sixteen".