312465145065234 has 128 divisors (see below), whose sum is σ = 736802821324800. Its totient is φ = 86473051338240.

The previous prime is 312465145065211. The next prime is 312465145065259. The reversal of 312465145065234 is 432560541564213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1232569774 + ... + 1232823254.

It is an arithmetic number, because the mean of its divisors is an integer number (5756272041600).

Almost surely, 2^{312465145065234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312465145065234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368401410662400).

312465145065234 is an abundant number, since it is smaller than the sum of its proper divisors (424337676259566).

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

312465145065234 is a wasteful number, since it uses less digits than its factorization.

312465145065234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257088.

The product of its (nonzero) digits is 10368000, while the sum is 51.

The spelling of 312465145065234 in words is "three hundred twelve trillion, four hundred sixty-five billion, one hundred forty-five million, sixty-five thousand, two hundred thirty-four".