312334301404044 has 144 divisors (see below), whose sum is σ = 807812088187104. Its totient is φ = 101729289830400.

The previous prime is 312334301404043. The next prime is 312334301404049. The reversal of 312334301404044 is 440404103433213.

312334301404044 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 3 + 430 + 140 + 40 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (312334301404043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120958579 + ... + 123513749.

It is an arithmetic number, because the mean of its divisors is an integer number (5609806167966).

Almost surely, 2^{312334301404044} 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 312334301404044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403906044093552).

312334301404044 is an abundant number, since it is smaller than the sum of its proper divisors (495477786783060).

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

312334301404044 is a wasteful number, since it uses less digits than its factorization.

312334301404044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555688 (or 2555683 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 312334301404044 its reverse (440404103433213), we get a palindrome (752738404837257).

The spelling of 312334301404044 in words is "three hundred twelve trillion, three hundred thirty-four billion, three hundred one million, four hundred four thousand, forty-four".