312515540433204 has 144 divisors (see below), whose sum is σ = 774417539051520. Its totient is φ = 98064949245120.

The previous prime is 312515540433203. The next prime is 312515540433209. The reversal of 312515540433204 is 402334045515213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312515540433203) 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, 154962129 + ... + 156965895.

Almost surely, 2^{312515540433204} 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 312515540433204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387208769525760).

312515540433204 is an abundant number, since it is smaller than the sum of its proper divisors (461901998618316).

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

312515540433204 is a wasteful number, since it uses less digits than its factorization.

312515540433204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004210 (or 2004185 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 312515540433204 its reverse (402334045515213), we get a palindrome (714849585948417).

The spelling of 312515540433204 in words is "three hundred twelve trillion, five hundred fifteen billion, five hundred forty million, four hundred thirty-three thousand, two hundred four".