49244848128000 has 4032 divisors, whose sum is σ = 228851090657280. Its totient is φ = 10319560704000.

The previous prime is 49244848127911. The next prime is 49244848128071. The reversal of 49244848128000 is 82184844294.

49244848128000 is a `hidden beast` number, since 4 + 9 + 2 + 4 + 484 + 81 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

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 223 ways as a sum of consecutive naturals, for example, 1588543487985 + ... + 1588543488015.

It is an arithmetic number, because the mean of its divisors is an integer number (56758703040).

Almost surely, 2^{49244848128000} is an apocalyptic number.

49244848128000 is a gapful number since it is divisible by the number (40) 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 49244848128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114425545328640).

49244848128000 is an abundant number, since it is smaller than the sum of its proper divisors (179606242529280).

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

49244848128000 is an frugal number, since it uses more digits than its factorization.

49244848128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 49244848128000 in words is "forty-nine trillion, two hundred forty-four billion, eight hundred forty-eight million, one hundred twenty-eight thousand".