334400010334312 has 128 divisors (see below), whose sum is σ = 692699903068320. Its totient is φ = 150446068070400.

The previous prime is 334400010334283. The next prime is 334400010334381. The reversal of 334400010334312 is 213433010004433.

It can be written as a sum of positive squares in 16 ways, for example, as 333196614498276 + 1203395836036 = 18253674^2 + 1096994^2 .

It is a super-2 number, since 2×334400010334312² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8694502762 + ... + 8694541222.

Almost surely, 2^{334400010334312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334400010334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346349951534160).

334400010334312 is an abundant number, since it is smaller than the sum of its proper divisors (358299892734008).

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

334400010334312 is a wasteful number, since it uses less digits than its factorization.

334400010334312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39816 (or 39730 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 334400010334312 its reverse (213433010004433), we get a palindrome (547833020338745).

The spelling of 334400010334312 in words is "three hundred thirty-four trillion, four hundred billion, ten million, three hundred thirty-four thousand, three hundred twelve".