312462244116 has 144 divisors (see below), whose sum is σ = 893081338240. Its totient is φ = 94403232000.

The previous prime is 312462244097. The next prime is 312462244177. The reversal of 312462244116 is 611442264213.

312462244116 is a `hidden beast` number, since 3 + 1 + 24 + 622 + 4 + 4 + 1 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4368441 + ... + 4439391.

Almost surely, 2^312462244116 is an apocalyptic number.

312462244116 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 312462244116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446540669120).

312462244116 is an abundant number, since it is smaller than the sum of its proper divisors (580619094124).

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

312462244116 is a wasteful number, since it uses less digits than its factorization.

312462244116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71323 (or 71304 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 312462244116 in words is "three hundred twelve billion, four hundred sixty-two million, two hundred forty-four thousand, one hundred sixteen".