3335248078848 has 576 divisors, whose sum is σ = 11562130944000. Its totient is φ = 940788006912.

The previous prime is 3335248078829. The next prime is 3335248078913. The reversal of 3335248078848 is 8488708425333.

3335248078848 is a `hidden beast` number, since 3 + 3 + 3 + 5 + 2 + 480 + 78 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3335248078848² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275202133 + ... + 275214251.

It is an arithmetic number, because the mean of its divisors is an integer number (20073144000).

Almost surely, 2^{3335248078848} 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 3335248078848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781065472000).

3335248078848 is an abundant number, since it is smaller than the sum of its proper divisors (8226882865152).

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

3335248078848 is an equidigital number, since it uses as much as digits as its factorization.

3335248078848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12242 (or 12210 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 3335248078848 in words is "three trillion, three hundred thirty-five billion, two hundred forty-eight million, seventy-eight thousand, eight hundred forty-eight".