2983246426368 has 1152 divisors, whose sum is σ = 10384174080000. Its totient is φ = 836532043776.

The previous prime is 2983246426339. The next prime is 2983246426399. The reversal of 2983246426368 is 8636246423892.

It is a happy number.

2983246426368 is a `hidden beast` number, since 2 + 9 + 8 + 3 + 246 + 4 + 26 + 368 = 666.

2983246426368 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 (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7119919663 + ... + 7119920081.

It is an arithmetic number, because the mean of its divisors is an integer number (9014040000).

Almost surely, 2^{2983246426368} 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 2983246426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192087040000).

2983246426368 is an abundant number, since it is smaller than the sum of its proper divisors (7400927653632).

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

2983246426368 is a wasteful number, since it uses less digits than its factorization.

2983246426368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 592 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 63.

The spelling of 2983246426368 in words is "two trillion, nine hundred eighty-three billion, two hundred forty-six million, four hundred twenty-six thousand, three hundred sixty-eight".