2246131907712 has 2688 divisors, whose sum is σ = 9388690922880. Its totient is φ = 526727577600.

The previous prime is 2246131907693. The next prime is 2246131907717. The reversal of 2246131907712 is 2177091316422.

2246131907712 is a `hidden beast` number, since 2 + 2 + 4 + 613 + 19 + 0 + 7 + 7 + 12 = 666.

2246131907712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2688).

It is not an unprimeable number, because it can be changed into a prime (2246131907717) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 31635660637 + ... + 31635660707.

Almost surely, 2^{2246131907712} is an apocalyptic number.

2246131907712 is a gapful number since it is divisible by the number (22) 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 2246131907712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694345461440).

2246131907712 is an abundant number, since it is smaller than the sum of its proper divisors (7142559015168).

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

2246131907712 is a wasteful number, since it uses less digits than its factorization.

2246131907712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 2246131907712 in words is "two trillion, two hundred forty-six billion, one hundred thirty-one million, nine hundred seven thousand, seven hundred twelve".