312392889301416 has 2048 divisors, whose sum is σ = 1127507558400000. Its totient is φ = 71044495441920.

The previous prime is 312392889301351. The next prime is 312392889301421. The reversal of 312392889301416 is 614103988293213.

It is a self number, because there is not a number n which added to its sum of digits gives 312392889301416.

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 511 ways as a sum of consecutive naturals, for example, 815647230361 + ... + 815647230743.

It is an arithmetic number, because the mean of its divisors is an integer number (550540800000).

Almost surely, 2^{312392889301416} 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 312392889301416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563753779200000).

312392889301416 is an abundant number, since it is smaller than the sum of its proper divisors (815114669098584).

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

312392889301416 is a wasteful number, since it uses less digits than its factorization.

312392889301416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 312392889301416 in words is "three hundred twelve trillion, three hundred ninety-two billion, eight hundred eighty-nine million, three hundred one thousand, four hundred sixteen".