312166711296 has 540 divisors, whose sum is σ = 1029354820956. Its totient is φ = 94595973120.

The previous prime is 312166711277. The next prime is 312166711301. The reversal of 312166711296 is 692117661213.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (163296) is a multiple of the sum of its prime divisors (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28378791931 + ... + 28378791941.

Almost surely, 2^312166711296 is an apocalyptic number.

312166711296 is a gapful number since it is divisible by the number (36) 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 312166711296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514677410478).

312166711296 is an abundant number, since it is smaller than the sum of its proper divisors (717188109660).

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

312166711296 is an frugal number, since it uses more digits than its factorization.

312166711296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 16 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 312166711296 in words is "three hundred twelve billion, one hundred sixty-six million, seven hundred eleven thousand, two hundred ninety-six".