312658054011072 has 1792 divisors, whose sum is σ = 1231883425382400. Its totient is φ = 75355619328000.

The previous prime is 312658054011059. The next prime is 312658054011077. The reversal of 312658054011072 is 270110450856213.

312658054011072 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 580 + 54 + 0 + 1 + 10 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (312658054011077) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22459446672 + ... + 22459460592.

It is an arithmetic number, because the mean of its divisors is an integer number (687434947200).

Almost surely, 2^{312658054011072} is an apocalyptic number.

312658054011072 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 312658054011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615941712691200).

312658054011072 is an abundant number, since it is smaller than the sum of its proper divisors (919225371371328).

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

312658054011072 is a wasteful number, since it uses less digits than its factorization.

312658054011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14203 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 312658054011072 in words is "three hundred twelve trillion, six hundred fifty-eight billion, fifty-four million, eleven thousand, seventy-two".