2948844849408 has 360 divisors, whose sum is σ = 9224373977280. Its totient is φ = 935673016320.

The previous prime is 2948844849389. The next prime is 2948844849449. The reversal of 2948844849408 is 8049484488492.

2948844849408 is a `hidden beast` number, since 2 + 94 + 8 + 8 + 4 + 48 + 494 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42660891 + ... + 42729957.

It is an arithmetic number, because the mean of its divisors is an integer number (25623261048).

Almost surely, 2^{2948844849408} 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 2948844849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612186988640).

2948844849408 is an abundant number, since it is smaller than the sum of its proper divisors (6275529127872).

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

2948844849408 is an equidigital number, since it uses as much as digits as its factorization.

2948844849408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69195 (or 69172 counting only the distinct ones).

The product of its (nonzero) digits is 679477248, while the sum is 72.

The spelling of 2948844849408 in words is "two trillion, nine hundred forty-eight billion, eight hundred forty-four million, eight hundred forty-nine thousand, four hundred eight".