12946311034992 has 420 divisors, whose sum is σ = 39421309442424. Its totient is φ = 4116169612800.

The previous prime is 12946311034973. The next prime is 12946311035033. The reversal of 12946311034992 is 29943011364921.

12946311034992 is a `hidden beast` number, since 1 + 2 + 9 + 46 + 3 + 1 + 103 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 814174242 + ... + 814190142.

Almost surely, 2^{12946311034992} is an apocalyptic number.

12946311034992 is a gapful number since it is divisible by the number (12) 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 12946311034992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19710654721212).

12946311034992 is an abundant number, since it is smaller than the sum of its proper divisors (26474998407432).

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

12946311034992 is an equidigital number, since it uses as much as digits as its factorization.

12946311034992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16068 (or 16018 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 12946311034992 in words is "twelve trillion, nine hundred forty-six billion, three hundred eleven million, thirty-four thousand, nine hundred ninety-two".