4048265473329 has 288 divisors, whose sum is σ = 7460169776640. Its totient is φ = 1938402385920.

The previous prime is 4048265473277. The next prime is 4048265473339. The reversal of 4048265473329 is 9233745628404.

It is a happy number.

It is not a de Polignac number, because 4048265473329 - 2⁷ = 4048265473201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4048265473339) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3272647299 + ... + 3272648535.

It is an arithmetic number, because the mean of its divisors is an integer number (25903367280).

Almost surely, 2^{4048265473329} is an apocalyptic number.

4048265473329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4048265473329 is a deficient number, since it is larger than the sum of its proper divisors (3411904303311).

4048265473329 is a wasteful number, since it uses less digits than its factorization.

4048265473329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 4048265473329 in words is "four trillion, forty-eight billion, two hundred sixty-five million, four hundred seventy-three thousand, three hundred twenty-nine".