2983378839168 has 384 divisors, whose sum is σ = 9933724120320. Its totient is φ = 786333671424.

The previous prime is 2983378839151. The next prime is 2983378839173. The reversal of 2983378839168 is 8619388733892.

2983378839168 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 (384).

It is a self number, because there is not a number n which added to its sum of digits gives 2983378839168.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559415830 + ... + 559421162.

It is an arithmetic number, because the mean of its divisors is an integer number (25869073230).

Almost surely, 2^{2983378839168} is an apocalyptic number.

2983378839168 is a gapful number since it is divisible by the number (28) 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 2983378839168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966862060160).

2983378839168 is an abundant number, since it is smaller than the sum of its proper divisors (6950345281152).

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

2983378839168 is a wasteful number, since it uses less digits than its factorization.

2983378839168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7664 (or 7645 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 75.

The spelling of 2983378839168 in words is "two trillion, nine hundred eighty-three billion, three hundred seventy-eight million, eight hundred thirty-nine thousand, one hundred sixty-eight".