1604048208048 has 480 divisors, whose sum is σ = 5594655044160. Its totient is φ = 421497077760.

The previous prime is 1604048207969. The next prime is 1604048208067. The reversal of 1604048208048 is 8408028404061.

1604048208048 is a `hidden beast` number, since 16 + 0 + 40 + 482 + 0 + 80 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1604048207994 and 1604048208012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199182390 + ... + 199190442.

It is an arithmetic number, because the mean of its divisors is an integer number (11655531342).

Almost surely, 2^{1604048208048} is an apocalyptic number.

1604048208048 is a gapful number since it is divisible by the number (18) 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 1604048208048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797327522080).

1604048208048 is an abundant number, since it is smaller than the sum of its proper divisors (3990606836112).

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

1604048208048 is a wasteful number, since it uses less digits than its factorization.

1604048208048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8677 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 1604048208048 in words is "one trillion, six hundred four billion, forty-eight million, two hundred eight thousand, forty-eight".