312661719216 has 480 divisors, whose sum is σ = 1149512712192. Its totient is φ = 76919293440.

The previous prime is 312661719187. The next prime is 312661719233. The reversal of 312661719216 is 612917166213.

312661719216 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 617 + 1 + 9 + 21 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26261521 + ... + 26273423.

Almost surely, 2^312661719216 is an apocalyptic number.

312661719216 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 312661719216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574756356096).

312661719216 is an abundant number, since it is smaller than the sum of its proper divisors (836850992976).

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

312661719216 is a wasteful number, since it uses less digits than its factorization.

312661719216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12061 (or 12052 counting only the distinct ones).

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

The spelling of 312661719216 in words is "three hundred twelve billion, six hundred sixty-one million, seven hundred nineteen thousand, two hundred sixteen".