49048053842304 has 512 divisors, whose sum is σ = 166819527936000. Its totient is φ = 14030967121920.

The previous prime is 49048053842111. The next prime is 49048053842309. The reversal of 49048053842304 is 40324835084094.

It is a happy number.

49048053842304 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 80 + 538 + 4 + 23 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49048053842309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204292059 + ... + 204532005.

It is an arithmetic number, because the mean of its divisors is an integer number (325819390500).

Almost surely, 2^{49048053842304} is an apocalyptic number.

49048053842304 is a gapful number since it is divisible by the number (44) 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 49048053842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83409763968000).

49048053842304 is an abundant number, since it is smaller than the sum of its proper divisors (117771474093696).

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

49048053842304 is a wasteful number, since it uses less digits than its factorization.

49048053842304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240283 (or 240265 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 49048053842304 in words is "forty-nine trillion, forty-eight billion, fifty-three million, eight hundred forty-two thousand, three hundred four".