2246978627712 has 1536 divisors, whose sum is σ = 8751697920000. Its totient is φ = 561466515456.

The previous prime is 2246978627669. The next prime is 2246978627743. The reversal of 2246978627712 is 2177268796422.

It is a happy number.

2246978627712 is a `hidden beast` number, since 2 + 2 + 469 + 7 + 86 + 27 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2246978627712.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10076137233 + ... + 10076137455.

It is an arithmetic number, because the mean of its divisors is an integer number (5697720000).

Almost surely, 2^{2246978627712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246978627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375848960000).

2246978627712 is an abundant number, since it is smaller than the sum of its proper divisors (6504719292288).

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

2246978627712 is a wasteful number, since it uses less digits than its factorization.

2246978627712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 470 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 2246978627712 in words is "two trillion, two hundred forty-six billion, nine hundred seventy-eight million, six hundred twenty-seven thousand, seven hundred twelve".