316126628713728 has 3456 divisors, whose sum is σ = 1229865975152640. Its totient is φ = 78156339609600.

The previous prime is 316126628713723. The next prime is 316126628713729. The reversal of 316126628713728 is 827317826621613.

It is a happy number.

316126628713728 is a `hidden beast` number, since 3 + 1 + 6 + 126 + 62 + 87 + 1 + 372 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316126628713723) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 2489186052801 + ... + 2489186052927.

It is an arithmetic number, because the mean of its divisors is an integer number (355863997440).

Almost surely, 2^{316126628713728} is an apocalyptic number.

316126628713728 is a gapful number since it is divisible by the number (38) 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 316126628713728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614932987576320).

316126628713728 is an abundant number, since it is smaller than the sum of its proper divisors (913739346438912).

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

316126628713728 is a wasteful number, since it uses less digits than its factorization.

316126628713728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 359 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 316126628713728 in words is "three hundred sixteen trillion, one hundred twenty-six billion, six hundred twenty-eight million, seven hundred thirteen thousand, seven hundred twenty-eight".