3012323956416 has 168 divisors, whose sum is σ = 9153234342720. Its totient is φ = 943900286976.

The previous prime is 3012323956391. The next prime is 3012323956427. The reversal of 3012323956416 is 6146593232103.

3012323956416 is a `hidden beast` number, since 3 + 0 + 12 + 32 + 39 + 564 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7932025 + ... + 8303111.

Almost surely, 2^{3012323956416} is an apocalyptic number.

3012323956416 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 3012323956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576617171360).

3012323956416 is an abundant number, since it is smaller than the sum of its proper divisors (6140910386304).

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

3012323956416 is a wasteful number, since it uses less digits than its factorization.

3012323956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371951 (or 371938 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3012323956416 in words is "three trillion, twelve billion, three hundred twenty-three million, nine hundred fifty-six thousand, four hundred sixteen".