3475104450048 has 640 divisors, whose sum is σ = 12931259489280. Its totient is φ = 902591078400.

The previous prime is 3475104450007. The next prime is 3475104450073. The reversal of 3475104450048 is 8400544015743.

3475104450048 is a `hidden beast` number, since 3 + 4 + 7 + 510 + 44 + 50 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3475104449985 and 3475104450012.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 128784718 + ... + 128811698.

It is an arithmetic number, because the mean of its divisors is an integer number (20205092952).

Almost surely, 2^{3475104450048} 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 3475104450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465629744640).

3475104450048 is an abundant number, since it is smaller than the sum of its proper divisors (9456155039232).

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

3475104450048 is an equidigital number, since it uses as much as digits as its factorization.

3475104450048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27048 (or 27004 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 3475104450048 in words is "three trillion, four hundred seventy-five billion, one hundred four million, four hundred fifty thousand, forty-eight".