312344101114432 has 112 divisors (see below), whose sum is σ = 657750492951552. Its totient is φ = 146653287137280.

The previous prime is 312344101114391. The next prime is 312344101114447. The reversal of 312344101114432 is 234411101443213.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6283174057 + ... + 6283223767.

It is an arithmetic number, because the mean of its divisors is an integer number (5872772258496).

Almost surely, 2^{312344101114432} is an apocalyptic number.

312344101114432 is a gapful number since it is divisible by the number (32) 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 312344101114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328875246475776).

312344101114432 is an abundant number, since it is smaller than the sum of its proper divisors (345406391837120).

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

312344101114432 is a wasteful number, since it uses less digits than its factorization.

312344101114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62676 (or 62666 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 312344101114432 its reverse (234411101443213), we get a palindrome (546755202557645).

The spelling of 312344101114432 in words is "three hundred twelve trillion, three hundred forty-four billion, one hundred one million, one hundred fourteen thousand, four hundred thirty-two".