316616627712 has 320 divisors, whose sum is σ = 1054585787904. Its totient is φ = 82006179840.

The previous prime is 316616627633. The next prime is 316616627731. The reversal of 316616627712 is 217726616613.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44111868 + ... + 44119044.

Almost surely, 2^316616627712 is an apocalyptic number.

316616627712 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 316616627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527292893952).

316616627712 is an abundant number, since it is smaller than the sum of its proper divisors (737969160192).

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

316616627712 is a wasteful number, since it uses less digits than its factorization.

316616627712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589 (or 7573 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The spelling of 316616627712 in words is "three hundred sixteen billion, six hundred sixteen million, six hundred twenty-seven thousand, seven hundred twelve".