312054685544448 has 2496 divisors, whose sum is σ = 1189675589566464. Its totient is φ = 76473040896000.

The previous prime is 312054685544423. The next prime is 312054685544501. The reversal of 312054685544448 is 844445586450213.

312054685544448 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 5 + 4 + 6 + 85 + 544 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 635549257483 + ... + 635549257973.

It is an arithmetic number, because the mean of its divisors is an integer number (476632848384).

Almost surely, 2^{312054685544448} 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 312054685544448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594837794783232).

312054685544448 is an abundant number, since it is smaller than the sum of its proper divisors (877620904022016).

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

312054685544448 is a wasteful number, since it uses less digits than its factorization.

312054685544448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 294912000, while the sum is 63.

The spelling of 312054685544448 in words is "three hundred twelve trillion, fifty-four billion, six hundred eighty-five million, five hundred forty-four thousand, four hundred forty-eight".